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8th Edition

Charles P. McKeague + 1 other

Publisher: Cengage Learning

ISBN: 9781305652224

Chapter 2.2, Problem 88PS

Textbook Problem

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Sundials The Moorish sundial is designed so that the shadow of the gnomon (the vertical triangular piece) is consistent at each hour from one day to the next. This allows the hours to be marked on the sundial using a single scale that is not affected by the changes in the Sun’s path during the year. If the sundial is positioned so that the gnomon is aligned along a longitudinal line from north to south, then at exactly noon the gnomon will cast a shadow due north.

Figure 7

As the sun moves, the shadow will sweep out an angle toward the east, labeled
*shadow angle.* This angle can be calculated using the formula

where
*h* is a number of hours from noon.

The latitude of Goose Pimple Junction,w Virginia, is 36.597*°.* Find the shadow angle for a sundial in this town at 5:00 p.m. Round to the nearest tenth of a degree.

To determine

**To find:**

The shadow angle for a sun dial in Goose Pimple Junction, Virginia at 5:00 pm rounded to the nearest tenth of a degree

**Given information:**

**Concept Used:**

The shadow angle can be calculated using the formula

**Calculation:**

Here we have;

The shadow angle

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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 . 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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. 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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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Find each product mentally: (12x+1)(12x+5)

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Calculus: Early Transcendentals

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Probability and Statistics for Engineering and the Sciences

DISCUSS PROVE: Vector Equation of a Sphere Let u = 2, 2, 2, v = 2, 2, 0, and r = x, y, z. (a) Show that the ve...

Precalculus: Mathematics for Calculus (Standalone Book)

Compute the range and standard deviation of the following 10 scores. HINT: It will be helpful to organize your ...

Essentials Of Statistics

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Understanding Basic Statistics

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Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Using the Definition of a Limit In Exercises 710, find the limit L. Then use the definition to prove that the...

Calculus of a Single Variable

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Calculus: Early Transcendental Functions (MindTap Course List)

DEMAND FUNCTION FOR A COMMODITY Assume that a certain commoditys demand equation has the form p=ax+b, Where x i...

Finite Mathematics for the Managerial, Life, and Social Sciences

Find the slope and y-intercept of the lines and draw its graph. 41. 3x 4y = 12

Single Variable Calculus: Early Transcendentals

Find m1 if m1=2x and m2=x. HINT: See Exercise 39.

Elementary Geometry for College Students

For , f′(x) =

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

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Introduction To Statistics And Data Analysis

True or False:
If F is conservative, then curl F = 0.

Study Guide for Stewart's Multivariable Calculus, 8th

Using a Differential as an Approximation In Exercises (a) find f (2,1) and f (2.1,1.05) and calculate z , and (...

Multivariable Calculus

Write the values of the settings on the following varnier protractor scales.

Mathematics For Machine Technology

Discovery and Writing Describe a strategy to solve a variation problem.

College Algebra (MindTap Course List)

Explain the issue of interdependence and independence of factors, and how it is related to interaction.

Research Methods for the Behavioral Sciences (MindTap Course List)

Proof Prove that if limxcf(x) exists and limxc[f(x)+g(x)] does not exist, then limxcg(x) does not exist.

Calculus (MindTap Course List)

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Give an example of a situation (aside from gender) in which a researcher must examine preexisting groups.

Research Methods for the Behavioral Sciences (MindTap Course List)

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

Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places bu...

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

How many great-great-great grandparents does a drone bee have? How is each related to the drone?

Mathematics: A Practical Odyssey

Population Growth In the study of population dynamics one of the most famous models for a growing but bounded p...

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

A random telephone survey of 1021 adults (aged 18 and older) was conducted by Opinion Research Corporation on b...

Essentials Of Statistics For Business & Economics

Let D = E ={-2,-1,0,1,2}. Write negations for each of the following statements and determine which is true, the...

Discrete Mathematics With Applications

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