   Chapter 11.1, Problem 4E 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 1 to 6, find sin     α and sin     β for the triangle shown. To determine

To find:

The angle sinαandsinβ

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:

By using Pythagoras theorem, that is

c2=a2+b2

Let a be the opposite of the triangle.

From, the diagram we have c=3andb=5

32=a2+(5)29=a2+

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