Question

THIS IS MY TEST IN GEOMETRY HELP

Answer 1

Given:

Height of access ramp = 6 foot

Ramp ends at a point 40 feet away along the ground.

To find:

The angle of depression in nearest tenth of a degree.

Solution:

Using the given information, draw a figure as shown below.

In a right angle triangle,

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

In triangle ABC,

$\tan \theta=\dfrac{AB}{BC}$

$\tan \theta=\dfrac{6}{40}$

$\tan \theta=0.15$

Taking tan inverse on both sides.

$\theta=\tan^{-1}(0.15)$

$\theta=8.5307656$

$\theta \approx 8.5$

Therefore, the angle of depression is 8.5 degrees.