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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Review 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?

To determine

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

Explanation

Procedure used:

In any right triangle ABC with mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

cosθ=AdjacentHypotenuse

tanθ=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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Chapter 11 Solutions

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