Question

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

Answer 1

Answer:

The correct answer option is C. 17.9°.

Step-by-step explanation:

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°

Answer 2

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:

$R=arctan(\frac{10}{31})\\\\R=17.9\°$