Question

B= round your answer to the nearest hundredth​

Answer 1

Set your calculator to degree mode.

cos^-1 (2/5) = 66.42°

Angle B measures 66.42°.

Answer 2

66.42°

Explanation:

You want the measure of angle B in right triangle ABC with hypotenuse AB = 5 and adjacent side BC = 2.

Cosine

The cosine relation is ...

Cos = Adjacent/Hypotenuse

cos(B) = BC/BA . . . . . use the definition

B = arccos(BC/BA) . . . . . use the inverse function

B = arccos(2/5) ≈ 66.42°

The measure of angle B is about 66.42°.

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Additional comment

Your calculator needs to be in degrees mode.

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