Question

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

Answer 1

Answer: option c.

Explanation:

You need to remember the identity:

`tan\alpha=(opposite)/(adjacent)`

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

`\alpha =arctan((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((opposite)/(adjacent))`

Then, you get:

`R=arctan((10)/(31))\\\\R=17.9\°`

Answer 2

The correct answer option is C. 17.9°.

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°