Question

In ΔABC below, what is the measure of angle B? In particular, which option below gives an exact expression for m B and an approximation that is correct to the nearest tenth of a degree?

Answer choices are show in the pictures! Please help!

Answer 1

`\sin(\angle B) = \frac{\text{opp}}{\text{hyp}}`


`\sin(\angle B) = \frac{\text{3}}{\text{4}}`


`\angle B = \sin^(-1) (\frac{\text{3}}{\text{4}} ) = 48.6 \textdegree`

Answer 2

Answer: sin^(-1)(3/4)=48.6

Explanation:

Sin of an angle equals opposite cat./hip

Then,

Sin(b) = 3/4

So B = arcsin 3/4