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8th Edition

Charles P. McKeague + 1 other

Publisher: Cengage Learning

ISBN: 9781305652224

Chapter 2.3, Problem 56PS

Textbook Problem

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Suppose each edge of the cube shown in Figure 10 is 3.00 inches long. Find the measure of the angle formed by diagonals *DE* and *DG.* Round your answer to the nearest tenth of a degree.

Figure 10

To determine

**To find:**

The measure of the angle formed by diagonals DE and DG rounding the answer to the nearest tenth of a degree.

**Given information:**

In the above given figure each edge of the cube is 3 inches long.

**Concept Used:**

**Calculation:**

Suppose A, B, C, D, E, F, G and H are the vertex of the cube whose each edge is 3 inches long.

Now first we will find the diagonal GD of the cube using Pythagorean Theorem as follows;

Similarly, to find the diagonal DE of the cube using Pythagorean Theorem as follows;

Trigonometry (MindTap Course List)

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If a =...Ch. 2.1 - According to the Cofunction Theorem, which value...Ch. 2.1 - Which of the following statements is false? a. sin...Ch. 2.1 - Use exact values to simplify 4 cos2 30 + 2 sin 30....Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - Add or subtract as indicated. (3745)+(2624)Ch. 2.2 - Add or subtract as indicated. (1141)+(3216)Ch. 2.2 - Add or subtract as indicated. (5155)+(3745)Ch. 2.2 - Add or subtract as indicated. (6338)+(2452)Ch. 2.2 - Add or subtract as indicated. (6133)+(4516)Ch. 2.2 - Add or subtract as indicated. (7121)+(2644)Ch. 2.2 - Add or subtract as indicated. 90(3412)Ch. 2.2 - Add or subtract as indicated. 90(6225)Ch. 2.2 - Add or subtract as indicated. 180(12017)Ch. 2.2 - Add or subtract as indicated. 180(13239)Ch. 2.2 - Add or subtract as indicated. (7624)(2234)Ch. 2.2 - Add or subtract as indicated. (8938)(2858)Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to complete the following table....Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - To further justify the Cofunction. Theorem use...Ch. 2.2 - To further justify the Cofunction. Theorem use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - Work each of the following problems on your...Ch. 2.2 - Work each of the following problems on your...Ch. 2.2 - What happens when you try to find A for sin A =...Ch. 2.2 - What happens when you try to find B for sin B =...Ch. 2.2 - What happens when you try to find tan 90 on your...Ch. 2.2 - What happens when you try to find cot 0 on your...Ch. 2.2 - Complete each of the following tables. Round all...Ch. 2.2 - Complete each of the following tables. Round all...Ch. 2.2 - Sundials The Moorish sundial is designed so that...Ch. 2.2 - Sundials The Moorish sundial is designed so that...Ch. 2.2 - The problems that follow review material we...Ch. 2.2 - The problems that follow review material we...Ch. 2.2 - Find sin,cos, and tan for each value of . (Do not...Ch. 2.2 - Find sin,cos, and tan for each value of . (Do not...Ch. 2.2 - Find the remaining trigonometric functions of ...Ch. 2.2 - Find the remaining trigonometric functions of ...Ch. 2.2 - In which quadrant must the terminal side of lie...Ch. 2.2 - In which quadrant must the terminal side of lie...Ch. 2.2 - Subtract (6722) â€“ (3430). 3202 3302 3308 3252Ch. 2.2 - Convert 76 36 to decimal degrees. a. 76.36 b. 76.6...Ch. 2.2 - Use a calculator to approximate sec 31.7. a....Ch. 2.2 - Given cot=x for some value x. Which of the...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - In Problems 39 and 40, use the information given...Ch. 2.3 - In Problems 39 and 40, use the information given...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Based on your answers to Problems 58 and 59,...Ch. 2.3 - Based on your answers to Problems 58 and 60,...Ch. 2.3 - Repeat Example 5 from this section for the...Ch. 2.3 - Repeat Example 5 from this section for the...Ch. 2.3 - Ferris Wheel In 1897, a Ferris wheel was built in...Ch. 2.3 - Ferris Wheel A Ferris wheel with a diameter of 165...Ch. 2.3 - Observation Wheel the London Eye has a diameter of...Ch. 2.3 - Observation Wheel The High Roller, located on the...Ch. 2.3 - Human Cannonball In Example 2 of Section 1.2, we...Ch. 2.3 - Human Cannonball To get a better estimate of the...Ch. 2.3 - The following problems review material that we...Ch. 2.3 - The following problems review material that we...Ch. 2.3 - If cos=23 and terminates in QIII, find sin .Ch. 2.3 - If A=34 with A in QII, find cos A.Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Which number contains three significant digits? a....Ch. 2.3 - Given right triangle ABC with C = 90, if A = 58...Ch. 2.3 - Given right triangle ABC with C = 90, if a = 58 cm...Ch. 2.3 - A Ferris wheel has a radius of 45 feet and the...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. 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If the ship...Ch. 2.5 - Navigation If a navigation error puts a plane 1.9...Ch. 2.5 - Velocity of a Bullet A bullet is fired into the...Ch. 2.5 - Velocity of a Bullet A bullet is fired into the...Ch. 2.5 - Distance Traveled by a Bullet Use the results of...Ch. 2.5 - Distance Traveled b a Bullet Use the results of...Ch. 2.5 - Distance A ship travels 130 kilometers on a...Ch. 2.5 - Distance A plane flies for 3 hours at 320...Ch. 2.5 - Velocity of an Arrow An arrow is shot into the air...Ch. 2.5 - Velocity of an Arrow the horizontal and vertical...Ch. 2.5 - Distance A plane travels 170 miles on a bearing of...Ch. 2.5 - Distance A ship travels in the direction S 120 E...Ch. 2.5 - Static Equilibrium Repeat the swing problem shown...Ch. 2.5 - Static Equilibrium The diagram in Figure 18 of...Ch. 2.5 - Force An 8.0-pound weight is lying on a sit-up...Ch. 2.5 - Force Repeat Problem 43 for a 25.0-pound weight...Ch. 2.5 - Force Danny and Stacey have gone from the swing...Ch. 2.5 - Wrecking Ball A 2.200-pound wrecking ball is held...Ch. 2.5 - Work A package is pushed across a floor a distance...Ch. 2.5 - Work A package is pushed across a floor a distance...Ch. 2.5 - Work Mark pulls Allison and Manic in a wagon by...Ch. 2.5 - Work An automobile is pushed down a level street...Ch. 2.5 - Draw 135 in standard position, locate a convenient...Ch. 2.5 - Draw â€“270 in standard position, locate a...Ch. 2.5 - Find sin and cos lf the terminal side of lies...Ch. 2.5 - Find sin and cos if the terminal side of lies...Ch. 2.5 - Find x if the point (x, â€“8) is on the terminal...Ch. 2.5 - Find lithe point (â€“6, y) is on the terminal side...Ch. 2.5 - If a vector V has magnitude 28 and makes an angle...Ch. 2.5 - If a vector V has horizontal and vertical vector...Ch. 2.5 - Jadon is 5 years old and weighs 45.0 pounds. He is...Ch. 2.5 - A package is pushed across a floor a distance of...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Use Definition II to explain why, for any acute...Ch. 2 - Fill in the blank to make the statement true: sin...Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible. Add...Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - Geometry If the altitude of an isosceles triangle...Ch. 2 - Angle of Elevation If the angle of elevation of...Ch. 2 - Distance Two guy wires from the top of a 35-foot...Ch. 2 - Vector Angle Vector V has a horizontal vector...Ch. 2 - Velocity A bullet is fired into the air with an...Ch. 2 - Distance and Bearing A ship travels 120 miles on a...Ch. 2 - Force Tyler and his cousin Kelly have attached a...Ch. 2 - Force Tyler and Kelly decide to rollerskate. They...Ch. 2 - Work William pulls his cousins Hannah and Serah on...Ch. 2 - Find the measures of the remaining four angles...Ch. 2 - Use your knowledge of a 306090 triangle to find...Ch. 2 - Now use your knowledge of a 454590 triangle to...Ch. 2 - Find c and d, and then find sides a and b using...Ch. 2 - Now that the diagram is complete, you should have...Ch. 2 - Use your calculator to check each of the values in...Ch. 2 - The origins of the sine function are found in the...

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a. SOC Statewide, the population as a whole watches 6.2 hours of TV per day. A random sample of 1017 senior cit...

Essentials Of Statistics

For an integer n1, let G=Un, the group of units in n that is, the set of all [ a ] in n that have multiplicativ...

Elements Of Modern Algebra

Find the critical numbers of the function. f()=2cos+sin2

Calculus (MindTap Course List)

Finding an Equation off a Tangent Line In Exercises 85 and 86, find an equation of the tangent line to the grap...

Calculus: Early Transcendental Functions

Systems of Linear Equations in Several Variables Find the complete solution of the system, or show that the sys...

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 15-20, identify the logical connective that is used in the statement. Housing starts in the United...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding a Limit In Exercises 17-36, find the limit, if it exists. limxx212x1

Calculus of a Single Variable

In Exercise 23 to 28, use either the sine ratio or the cosine ratio as needed to find the measure of each indic...

Elementary Geometry for College Students

Proof Let f be integrable on [a, b] and 0mf(x)M for all x in the interval [a, b]. Prove that m(ab)abf(x)dxM(ba)...

Calculus: Early Transcendental Functions (MindTap Course List)

The weekly demand (in cases) for a particular brand of automatic dishwasher detergent for a chain of grocery st...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

True or False:
is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th

Solve each formula for the indicated variable. x2a2y2b2=1; b

College Algebra (MindTap Course List)

Using Lagrange MultipliersIn Exercises 9398, use Lagrange Multipliers to find the indicated extrema, assuming t...

Multivariable Calculus

To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is s...

Introduction To Statistics And Data Analysis

Reconsider the sample survey results in exercise 11. a. Estimate the population total pharmacy sales for St. Lo...

Statistics for Business & Economics, Revised (MindTap Course List)

All dimensions are in inches. Round the answers to 3 decimal places. a. If y = 2.145" find x. b If y = 2.265", ...

Mathematics For Machine Technology

In an experiment examining human memory, two groups of participants are used. One group is allowed 5 minutes to...

Research Methods for the Behavioral Sciences (MindTap Course List)

Carbon Dating Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content ...

Calculus (MindTap Course List)

Explain how the process of randomly assigning participants to treatment conditions should prevent a participant...

Research Methods for the Behavioral Sciences (MindTap Course List)

∫ sin 3x cos 6x dx =

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Exercises 43-60 are for those who have read Section 8.5: Right Triangle Trigonometry. a. Use trigonometry and t...

Mathematics: A Practical Odyssey

In Problems 2334 proceed as in Example 4 and find the Laplace transform of f g using Theorem 7.4.2. Do not eva...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Inventory For retailers who buy from a distributor or manufacturer and sell to the public, a major concern is t...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In 10—12, use the rules about order of precedence to eliminate the parentheses in the given regular expression....

Discrete Mathematics With Applications

46. A survey of adults aged 18 and older conducted by Princess Cruises asked how many days into your vacation d...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

70. A new automated production process averages 1.5 breakdowns per day. Because of the cost associated with a b...

Essentials Of Statistics For Business & Economics

Use the following information to answer the next six exercises: Yoonle Is a personnel manager in a large corpor...

Introductory Statistics

For the following problems, state the domain and range of the given functions: f=x2+2x3,g=In(x5),h=1x+4 317. gf

Calculus Volume 1