   Chapter 11.1, Problem 16E 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 15 to 20, find the lengths of the sides named by the variables. Use either Table 11.2 or a calculator, and round answer to the nearest tenth of a unit. To determine

To find:

The length of the side named by the variable.

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.

Formula:

sinθ=oppositehypotenuse

Given:

From, the given diagram, θ=43, hypotenuse side is 20 m and opposite side is a.

Then,

sin θ=oppositehypotenusesin 43=a20

In a right angle triangle, sum of all three angles is 180

Here, one angle is 90 and other angle is 43

Let the third angle be α

α=1809043α=47

For the angle α, hypotenuse side is 20 m and opposite side is b.

sin α=oppositehypotenusesin 47=b20

Using the table 11

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