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4vir4ik [10]2 years ago

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This 2727818 and that juicier 78388

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

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

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m(∠R) = $\text{sin}^{-1}(0.09237)$

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