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In triangle RST, RT = 9, ST = 15, and angle R = 120 degrees.   To the nearest tenth, what is angle S?

 

 Mar 26, 2021
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You can solve the question using the law of sines:

 

(sin A)/a = (sin B)/b = (sin C)/c

 

A, B and C are angles in the triangle; a, b, and c are the side lengths opposite to their respective angles.

Plugging this in we get:

 

sin(120)/15 = sin(S)/9

sin(120) = sin(S) * 5/3

sin-1{[sin(120)]/(5/3)} = S

S ≈ 31.3°

 

Solved! :)

 Mar 26, 2021
edited by ArithmeticBrains1234  Mar 26, 2021

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