Question

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

Answer 1

Answer: $m\angle B=46\°$

Step-by-step 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:

$\alpha =arccos(\frac{adjacent}{hypotenuse})$

In this case, you can identify that:

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

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

$m\angle B=arccos(\frac{20\ cm}{29\ cm})\\\\m\angle B=46\°$