   Chapter 11.CR, Problem 19CR 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 Review Exercise 18 to 20, prove each statement without using a table or a calculator. Draw an appropriate right triangle.If m ∠ S = 30 ° , then sin ⁡ S = 1 2 .

To determine

To prove:

The given statement.

Explanation

Procedure used:

In any right triangle ABC with mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

Calculation:

Given:

mS=30°

Let RST be the right triangle having right angle at R.

Thus,

The third angle T of the above triangle must be 60 ° for that it satisfies the angle sum property of a triangle, according to which ‘the sum of all the three angles is 180 °

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