   Chapter 11.1, Problem 27E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# 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.The pitch or slope of a roofline is 5 to 12. Find the measure of angle α. To determine

To find:

The measure of angle α

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:

From, the given diagram, opposite side is 5 ft, base is 12 ft.

We have to find the hypotenuse and the angle of measure.

By Pythagorean Theorem,

For a right angled triangle, hypotenuse2=opposite side2+base side2

Then,

hypotenuse2=52+122

hypoten

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