Question

THIS IS MY TEST IN GEOMETRY HELP

What is the angle of depression from the start of a 6-foot high access ramp that ends at a point 40 feet away along the ground? Nearest tenth of a degree.

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 = \frac{\text{Perpendicular}}{\text{Base}}`

In triangle ABC,

`\tan \theta=(AB)/(BC)`

`\tan \theta=(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.