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Arisa [49]
3 years ago
14

What is m∠C? Round the value to the nearest degree.

Mathematics
1 answer:
Elis [28]3 years ago
5 0

Answer: m\angle C=53\°

Step-by-step explanation:

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

Then, to find an angle α, this is:

\alpha =arcsin(\frac{opposite}{hypotenuse})

In this case, you can identify that:

\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm

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

m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°

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