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stealth61 [152]
3 years ago
15

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

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

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\°

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