Question

Which is the degree measure of an angle whose tangent is 1.19? Round the answer to the nearest whole number.

Answer 1

We know that:

$\tan\theta=1.19$

where theta is the angle we are trying to find; to get the angle we take the inverse tangent at both sides of the equation. Then:

$\begin{gathered} \tan^{-1}(\tan\theta)=\tan^{-1}1.19 \\ \theta=50 \end{gathered}$

Therefore, the angle we are looking for is 50°