   Chapter 11.1, Problem 33E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

In Exercises 27 to 34, use the drawings, where provided, to solve each problem. Angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit.A 10-ft ladder is leaning against a vertical wall so that the bottom of the ladder is 4ft away from the base of the wall. How large is the angle formed by the ladder and the wall?

To determine

To find:

The angle formed by the wall and the ladder

Explanation

In a right angle triangle,

1) The side PQ, which is opposite to the right angle PRQ is called the hypotenuse.

(The hypotenuse is the longest side of the right triangle.)

2) The side RQ is called the adjacent side of angle θ.

3) The side PR is called the opposite side of angle θ.

Hence, the sine ratio for an acute angle is oppositehypotenuse

Given:

Opposite side = 4 ft and hypotenuse = 10 ft

Let α be the angle formed by the wall and the ladder.

We know that,

sinθ=oppositeHypotenuse</

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