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

Explanation:

s = 560 inches

∠Q=146°

∠R=10°

ΔQRS is drawn below

m

146° + 10° + m

156° + m

m

m

Using the sine rule

$\begin{gathered} \frac{\sin R}{r}=\frac{\sin S}{s} \\ \frac{\sin10}{r}=\frac{\sin24}{560} \\ \frac{0.1736}{r}=0.000726 \\ r=\frac{0.1736}{0.000726} \\ r=239\text{ inches} \end{gathered}$