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Using the sine rule, calculate the length y. Give your answer to 2 s.f.​

Using the sine rule, calculate the length y. Give your answer to 2 s.f.​-example-1
User Oumar
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1 Answer

12 votes
12 votes

Answer:

y = 9.84 mm

Explanation:

Sine rule:

Law of sine:


\sf \boxed{\bf (a)/(Sin \ A)=(b)/(Sin \ B)= (c)/(Sin \ C)}

a = y

A = 31°

b = 17 mm

B = 117°


\sf (y)/(Sin \ 31^\circ)=(17)/(Sin \ 117^\circ)\\\\


\sf y = (17)/(Sin \ 117^\circ)*Sin \ 31^\circ\\\\ y = (17)/(0.89)*0.515\\\\y = 9.84 \ mm

User Scott Sherwood
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