Question

Sines/ Cosines topic. In the triangle below round to the nearest tenth. Include explanation if possinle

Answer 1

By the law of sines,

$\dfrac{\sin90^\circ}{17}=\dfrac{\sin y^\circ}9$

$\implies\sin y^\circ=\dfrac9{17}$

(since $\sin90^\circ=1$)

$\implies y=\sin^{-1}\left(\dfrac9{17}\right)\approx32.0$