Question

Find the measure of the indicated angle to the nearest degree.

Answer 1

Explanation:

Let the measure of required angle be x degree

`\therefore \tan \: x = (33)/(56) \\ \\ \therefore \tan \: x = 0.589285714 \\ \\ \therefore \: x = {\tan}^( - 1) (0.589285714) \\ \\ \therefore \: x = {\tan}^( - 1) ( \tan \: 30.510237394 \degree) \\ \\ \huge \red{ \boxed{\therefore \: x = 31\degree}}`

Thus, first option is the correct answer.