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8th Edition

Charles P. McKeague + 1 other

Publisher: Cengage Learning

ISBN: 9781305652224

Chapter 2.4, Problem 19PS

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.

Length of a Rope A 72.5*-foot* rope from the top of a circus tent pole is anchored to the ground 43.2 feet from the bottom of the pole. What angle does the rope make with the pole? (Assume the pole is perpendicular to the ground.)

To determine

**To find:**

What angle does the rope make with the pole (by assuming the pole is perpendicular to the ground) for a 72.5 foot rope from the top of a circus tent pole is anchored to the ground 43.2 feet from the bottom of the pole. Also, to draw the diagram of the situation with all the given information labeled.

**Given information:**

A 72.5 foot rope from the top of a circus tent pole is anchored to the ground 43.2 feet from the bottom of the pole.

**Concept Used:**

Pythagorean Theorem:

**Sketch:**

**Calculation:**

We have labeled the angle between the pole and the rope as

Now, we can solve for

Trigonometry (MindTap Course List)

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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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(a) If an ellipse is rotated about its major axis, find the volume of the resulting solid. (b) If it is rotated...

Single Variable Calculus: Early Transcendentals

Checks that have not yet reached the bank are called ___________ checks. Deposits that have not reached the ban...

Contemporary Mathematics for Business & Consumers

Find the area enclosed by the loop of the strophoid r = 2 cos sec .

Multivariable Calculus

Applying the First Derivative Test In Exercises 23-56, (a) find the critical numbers of f, if any, (b) find the...

Calculus: Early Transcendental Functions

18 . 18. For the following scores, find the value of each expression: X 3 5 0 2 X X2 X+1 (X+1)

Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 710, find C(n,x)pxqnx for the given values of n, x and p. n=5,x=3,p=.2.

Finite Mathematics for the Managerial, Life, and Social Sciences

Sketching a Surface in Space In Exercises 49-58, describe and sketch the surface. y=12z

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 25 to 28, write a formal proof of each theorem or corollary. If both pairs of opposite sides of a ...

Elementary Geometry for College Students

Analyzing the Graph of a Function In Exercises 9-36, analyze and sketch a graph of the function. Label any inte...

Calculus of a Single Variable

Explain the distinction between naturalistic observation and participant observation, and describe the situatio...

Research Methods for the Behavioral Sciences (MindTap Course List)

Using Vector Operations In Exercise 27 and 28, And (a) 23u , (b) 3v, (c) vu (d) 2u+5v. u=3,8,v=8,7

Multivariable Calculus

Define experimenter bias, demand characteristics, and reactivity, and explain how these artifacts can threaten ...

Research Methods for the Behavioral Sciences (MindTap Course List)

The report A Crisis in Civic Education (American Council of Trustees and Alumni, January 2016, goacta.org/image...

Introduction To Statistics And Data Analysis

Solve each equation. If an equation has no solution, so indicate. 3x23=2x+73.

College Algebra (MindTap Course List)

For f(x) = 10x2, f′(3) = _____.
10
20
30
60

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

Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford Focus, Hyundai ...

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

What does the phrase half-life mean?

Mathematics: A Practical Odyssey

Constant Force In Exercises 5-8, determine the work done by the constant force. The locomotive of a freight tra...

Calculus (MindTap Course List)

Solve each of the following equations using the multiplication principle of equality. Check each answer. B12=7

Mathematics For Machine Technology

A study reported in The Accounting Review examined the separate and joint effects of two levels of time pressur...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

The area of a region D enclosed by a curve C, such as that pictured in question 1, may be evaluated using the l...

Study Guide for Stewart's Multivariable Calculus, 8th

Laptop Ratings. To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test ...

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

In Problems 2536 solve the given initial-value problem. Give the largest interval I over which the solution is ...

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

Reminder Round all answers to two decimal places unless otherwise indicated. Note Some of the formulas below us...

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

Underfilling Packages of Coffee. Suppose the project director for the Hilltop Coffee study (see Section 9.3) as...

Essentials Of Statistics For Business & Economics

The following sentence could be added to the loop invariant for the Euclidean algorithm: There exist integers u...

Discrete Mathematics With Applications

The area A of a square depends on the length of the side s. Write a function A(s) for the area of a square. Fin...

Calculus Volume 1

Determining Solutions In Exercises 3-6, determine whether each x-value is a solution (or an approximate solutio...

College Algebra