Question

∠B = __________ degreesRound your answer to the nearest hundredth.

Answer 1

To determine the measure of B, we will use the trigonometric function sine. Recall that, in a right triangle:

$sin\theta=\frac{opposite\text{ leg}}{hypotenuse}.$

Therefore:

$sinB=\frac{2}{3}.$

Solving for B, we get:

$B=\sin^{-1}(\frac{2}{3})\approx41.81^{\circ}.$

Answer:

$\angle B=41.81^{\circ}.$