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Using the diagram below, determine the measure of

Using the diagram below, determine the measure of-example-1

1 Answer

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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°

User Akbar Ahmed
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