Question

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

Answer 1

Answer:

y = 9.84 mm

Step-by-step explanation:

Sine rule:

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°

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

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