Question

What is angle B? Round the value to the nearest degree

Answer 1

Answer:
`m\angle B=46\°`

Explanation:

For this exercise you need to use the Inverse Trigonometric function arccosine, which is defined as the inverse function of the cosine.

Then, to find an angle α, this is:

`\alpha =arccos((adjacent)/(hypotenuse))`

In this case, you can identify that:

`\alpha =m\angle B\\\\adjacent=AB=20\ cm\\\\hypotenuse=BC=29\ cm`

Then, substituting values into
`\alpha =arccos((adjacent)/(hypotenuse))` and evaluating, you get that the measure of the angle "B" to the nearest degree, is:

`m\angle B=arccos((20\ cm)/(29\ cm))\\\\m\angle B=46\°`