Chapter 11.1, Problem 27E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*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 Î±.

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

3) The side *PR* is called the **opposite** side of angle

Hence, the sine ratio for an acute angle is

**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,

Then,

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