Question

Using the diagram below, determine the measure of

Answer 1

Here, we have a right triangle.

Given the dimensions:

AB = 45

AC = 30

To find the m∠B, use the trigonemetric function of a right triangle.

Thus, we have the formula:

`\tan B=(AC)/(AB)`

Input values into the formula:

`\begin{gathered} \tan B=(30)/(45) \\ \\ \tan B=0.667 \\ \text{Take the inverse tangent of both sides} \\ B=\tan ^(-1)(0.667) \\ \\ B=33.69\degree \end{gathered}`

ANSWER:

33.69°