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kozerog [31]
3 years ago
13

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer: m\angle R=77.2\°

Step-by-step explanation:

For this exercise you need to use an Inverse Trigonometric Function called "Arctangent".

By definition:

\alpha =arctan(\frac{opposite}{adjacent})

You must observe carefully the triangle PQR shown in the picture attached.

In this case you can identify that:

\alpha=m\angle R\\\\opposite=PQ=8\\\\adjacent=QR=3

Therefore, knowing those values you can substitute them into  \alpha =arctan(\frac{opposite}{adjacent}) , as following:

 m\angle R=arctan(\frac{PQ}{QR})\\\\m\angle R=arctan(\frac{8}{3})

Finally, evaluating, you get that the measure of the angle R is the following:

m\angle R=77.15\°

Rounding to the nearest tenth:

m\angle R\approx77.2\°

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