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8th Edition

Charles P. McKeague + 1 other

Publisher: Cengage Learning

ISBN: 9781305652224

Chapter 2.4, Problem 14PS

Textbook Problem

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Solve each of the following problems. In each case, be sure to make a diagram of the situation with all the given information labeled.

Geometry An equilateral triangle (one with all sides the same length) has an altitude of 12.3 inches. Find the length of the side&

To determine

**To find:**

The length of the sides of an equilateral triangle (one with all sides the same length) when the altitude of the equilateral triangle is 12.3 inches. Also, to draw the diagram of the situation with all the given information labeled.

**Given information:**

An equilateral triangle (one with all sides the same length)withan altitude of 12.3 inches.

**Concept Used:**

Pythagorean Theorem:

**Sketch:**

**Calculation:**

Let’s consider the above given diagram that represents an equilateral triangle (one with all sides the same length) with an altitude of 12.3 inches.

Thus we have,

Now from the right angled triangle ADB we get

Trigonometry (MindTap Course List)

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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? 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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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Using ordinary interest, 360 days, calculate the bank discount, proceeds, and effective rate for the following ...

Contemporary Mathematics for Business & Consumers

If the alpha level is changed from =.05 to =.01 What happens to the boundaries for the critical region? What ha...

Statistics for The Behavioral Sciences (MindTap Course List)

Suppose F is a vector field on 3. (a) Define curl F. (b) Define div F. (c) If F is a velocity field in fluid fl...

Multivariable Calculus

Evaluate the expression sin Exercises 116. (2)3

Finite Mathematics

Express the function in the form f g. 44. F(x) = cos2 x

Single Variable Calculus

For each pair of supply and demand equations in Exercises 70-74, where x represents the quantity demanded in un...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

ELECTRICITY GENERATION Electricity in the United States is generated from many sources. The following table giv...

Finite Mathematics for the Managerial, Life, and Social Sciences

Probability In an experiment, three people toss a fair coin one at a time until one of them tosses a head. Dete...

Calculus of a Single Variable

Verifying a Differentiation Formula In Exercises 102-104, verify the differentiation formula. ddx[cosh1x]=1x21

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 27 to 32, solve each incomplete quadratic equation. Use the Square Root Property as needed. ax2b=0

Elementary Geometry for College Students

The harmonic series is:
1 + 2 + 3 + 4 + …

Study Guide for Stewart's Multivariable Calculus, 8th

True or False:
Predator-prey population models are the solutions to two differential equations.

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

The authors of the paper Inadequate Physician Knowledge of the Effects of Diet on Blood Lipids and Lipoproteins...

Introduction To Statistics And Data Analysis

In addition to the key words that were defined in the text, you should be able to define the following terms, w...

Research Methods for the Behavioral Sciences (MindTap Course List)

Evaluating an Integral In Exercises 3 - 6, evaluate the integral. 02x22x(x2+2y)dydx

Multivariable Calculus

Use a graphing calculator to approximate the solutions of each system. Give answers to the nearest tenth. {y=3....

College Algebra (MindTap Course List)

A researcher studying cyberbullying among middle-school students interviews a group of students from a local mi...

Research Methods for the Behavioral Sciences (MindTap Course List)

A new automated production process averages 1.5 breakdowns per day. Because of thecost associated with a breakd...

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

Solve each of the following equations using the division principle of equality. Check each answer. 14D=8

Mathematics For Machine Technology

Convergence or Divergence In Exercises 5360, use the results of Exercises 4952 to determine whether the imprope...

Calculus (MindTap Course List)

The number of users of Facebook from 2004 through 2011 follows (Facebook website, April 16, 2012). Year Period ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Corporate Hiring Outlook. A Businessweek/Harris poll asked senior executives at large corporations their opinio...

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

The Single-Graph Method Use the single-graph method to solve 0.3x0.2x3=0. Note: There are three solutions. Find...

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

In Problems 4550 use a technique of integration or a substitution to find an explicit solution of the given dif...

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

College Graduate-Level Wages. The Economic Policy Institute periodically issues reports on worker’s wages. The ...

Essentials Of Statistics For Business & Economics

Evaluate the following quantities. a. P(6,4)b. P(6,6)c. P(6,3) d. P(6,1)

Discrete Mathematics With Applications

Exercises 4652 refer to the following: A nonprofit organizations board of directors, composed of four women Ang...

Mathematics: A Practical Odyssey

For the following exercises, for each linear equation, a. give the slope m and y -intercept b, if any, and b. g...

Calculus Volume 1