Question

If r=7 and S=10, find R. Round answer to the nearest tenth.

Answer 1

I believe the answer is 35 degrees, or A.

Answer 2

In the given figure for <R ,the opposite side is r and the adjacent side is s.

Given r=7,s=10.

Tan of any angle is the ratio of opposite and hypotenuse.

Tan R=$\frac{opposite }{hypotenuse}$

Substituting values of opposite r=7 and adjacent s=10 we have:

Tan R =$\frac{7}{10} =0.7$$R= Tan^{-1} (0.7)$

R= 34.99 degrees

R= 35 degrees

Option A is the right answer.