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Burka [1]
3 years ago
6

If r=10 and s=31 find R. Round to the nearest tenth

Mathematics
2 answers:
Natasha2012 [34]3 years ago
6 0

<u>Answer:</u>

The correct answer option is C. 17.9°.

<u>Step-by-step explanation:</u>

We are given a right angled triangle, SRT, with two known sides, r and s.

We are to find the measure of the angle R.

For that, we will use tan.

tan R = \frac { r } { s }

tan R = \frac { 1 0 } { 3 1 }

R = tan' 0.322

R = 17.9°

Vsevolod [243]3 years ago
3 0

Answer: option c.

Step-by-step explanation:

You need to remember the identity:

tan\alpha=\frac{opposite}{adjacent}

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "R":

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

You know that you need to find the measure of "R" and r=10 (which is the opposite side) and s=31 (which is the adjacent side), you can sustitute values into \alpha =arctan(\frac{opposite}{adjacent})

Then, you get:

R=arctan(\frac{10}{31})\\\\R=17.9\°

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