Question

In ΔQRS, s = 560 inches, ∠Q=146° and ∠R=10°. Find the length of r, to the nearest inch.

Answer 1

Answer:

r = 239 inches

Step-by-step explanation:

s = 560 inches

∠Q=146°

∠R=10°

ΔQRS is drawn below

m

146° + 10° + m

156° + m

m

m

Using the sine rule

`\begin{gathered} (\sin R)/(r)=(\sin S)/(s) \\ (\sin10)/(r)=(\sin24)/(560) \\ (0.1736)/(r)=0.000726 \\ r=(0.1736)/(0.000726) \\ r=239\text{ inches} \end{gathered}`