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

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

Step-by-step explanation:

Sin of an angle equals opposite cat./hip

Then,

Sin(b) = 3/4

So B = arcsin 3/4

Answer 2

$\sin(\angle B) = \dfrac{\text{opp}}{\text{hyp}}$

$\sin(\angle B) = \dfrac{\text{3}}{\text{4}}$

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