Question

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

Answer 1

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`