Question

Use Right Triangle Trigonometry to solve this problem. Round your answer to the nearest WHOLE NUMBER.

Answer 1

Given:

Height = 4 feet

Distance = 15 feet

Find-:

The angle of depression

Explanation-:

If the angle of depression is x then the base angle value is x

Use trigonometric formula is:

$\tan\theta=\frac{\text{ Perpendicular}}{\text{ Base}}$

For the angle "x"

$\begin{gathered} \text{ Perpendicular }=4\text{ feet} \\ \\ \text{ Base }=15\text{ feet} \end{gathered}$

Then the value of "x" is:

$\begin{gathered} \tan x=\frac{4}{15} \\ \\ x=\tan^{-1}(\frac{4}{15}) \\ \\ x=14.93 \end{gathered}$

The angle value is 14.93°