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One angle of a right triangle measures 60°. The side opposite this angle measures 21 inches.

What is the length of the hypotenuse of the triangle?

 Mar 24, 2020
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1) To determine which trigonometric rule to use, identify your given values:

Given angle: 60°     Opposite side of the given angle: 21 inches     Hypotenuse: x

 

2) Use the trigonometric rule that will help you solve in your problem.

Sin θ = opposite side / hypotenuse

 

3) Plug in your values. 

Sin (60°) = 21 / x

 

4) Solve.

Sin (60°) = 21 / x

√ 3 / 2 = 21 / x

√ 3 x = 21 (2)

√ 3 x = 42

x = 14√ 3 or 24.24871130....

 

 

If you have any questions, just let me know!! winklaughsmiley

 Mar 24, 2020

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