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Ght mangles What is m ZB to the nearest tenth? 28.2 c 45.8 B m ZB

Ght mangles What is m ZB to the nearest tenth? 28.2 c 45.8 B m ZB-example-1
User Sabito
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1 Answer

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5 votes

We are given a right triangle and we are asked to determine the angle B given the opposite and adjacent sides. To do that we will use the function tangent since this is defined as:


\tan \theta=(opposite)/(adjacent)

Substituting the values we get:


\tan B=(28.2)/(45.8)

Now, we use the inverse function of the tangent:


B=\tan ^(-1)((28.2)/(45.8))

Solving the operations:


B=31.62

Therefore, angle B is 31.62°.

User Trey Balut
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