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=(2)/(3).`

Solving for B, we get:

`B=\sin^(-1)((2)/(3))\approx41.81^(\circ).`

Answer:

`\angle B=41.81^(\circ).`