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

Mathematics

1 answer:

Tpy6a [65]2 years ago

8 0

Answer:

y = 9.84 mm

Step-by-step explanation:

Law of sine:

$\sf \boxed{\bf \dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B}= \dfrac{c}{Sin \ C}}$

a = y

A = 31°

b = 17 mm

B = 117°

$\sf \dfrac{y}{Sin \ 31^\circ}=\dfrac{17}{Sin \ 117^\circ}\\\\$

$\sf y = \dfrac{17}{Sin \ 117^\circ}*Sin \ 31^\circ\\\\ y = \dfrac{17}{0.89}*0.515\\\\y = 9.84 \ mm$

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