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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 11.CR, Problem 23CR
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Problem 2CR
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Problem 10CR
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Problem 21CR
Problem 22CR
Problem 23CR
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Problem 29CR
Problem 30CR
Problem 31CR
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In exercises 21 to 30. Use the drawings. Where provided, to solve each problem. Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit.

A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what is the angle of elevation to the top of the wall?

Chapter 11.CR, Problem 23CR, In exercises 21 to 30. Use the drawings. Where provided, to solve each problem. Angle measures

To determine

what is the angle of elevation to the top of the wall.

Explanation

Procedure used:

In any right triangle ABC with m∠A=θ we have the following ratios.

sin⁡θ=OppositeHypotenuse

cos⁡θ=AdjacentHypotenuse

tan⁡θ=OppositeAdjacent

Calculation:

Given:

Length of the beam =4 m

Distance of the wall from the foot of the beam =3 m

Let us structure the given figure as follows as a right triangle.

In the above triangle we have

BC=3 m, and

CA=4 m.

(i.e.)

BC=3 m =Adjacent and

CA=4 m =Hypotenuse

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