Question

If theta is an acute​ angle, solve the equation tangent theta equals four fifths

Answer 1

Answer:

$\theta=38.7\degree$

Step-by-step explanation:

We want to solve $\tan \theta=\frac{4}{5}$ given that $\theta$ is acute.

We take tangent inverse of both sides to get:

$\theta=\tan^{-1}(\frac{4}{5})$

Now set your calculator to degree mode and evaluate $\tan^{-1}(\frac{4}{5})$ to obtain:

$\theta=38.6598\degree$

To one decimal place, we have;

$\theta=38.7\degree$