Question

In ΔRST, r = 210 inches, t = 550 inches and ∠T=166°. Find all possible values of ∠R, to the nearest degree.

Answer 1

Answer:

m(∠R) = 5°

Step-by-step explanation:

By applying sine rule in the given triangle RST.

$\frac{\text{sin}(\angle R)}{ST}= \frac{\text{sin}(\angle T)}{SR}$

$\frac{\text{sin}(\angle R)}{r}= \frac{\text{sin}(\angle T)}{t}$

$\frac{\text{sin}(\angle R)}{210}= \frac{\text{sin}(166)}{550}$

sin(∠R) = $\frac{210\times \text{sin}(166)}{550}$

           = 0.09237

m(∠R) = $\text{sin}^{-1}(0.09237)$

           = 5.3°

           ≈ 5°