Question

Please help with geometry

Nicole and Tyler are competing in an adventure race. Nicole climbs a tree to retrieve a clue that is in the tree 3.5 meters above its base, and Tyler is standing 2.8 meters from the base of the tree. What is the angle of depression from the clue to the point on the ground where Tyler is standing? Round your answer to the nearest tenth.

Answer 1

Answer: The angle of depression is 51.34°.

Explanation:

1. You can make the diagram shown in the figure attached. Where
`A` is the point where the clue is and
`B` is the point where Tyler is.

2. To calculate the angle of depression, which is identified in the diagram as
`\alpha`, you can use
`tan^(-1)`, as following:

`tan^(-1)(\alpha)=(3.5)/(2.8)`

3. Then, you obtain the following angle of depression from the clue to the point where Tyler is:

`\alpha=51.34`°