Question

Two birds sit at the top of two different trees 57.4 feet away from eachother. The distance between the second bird and the bird watcher on the ground is 49.6 feet. What is the angle measure or angle depresion between the first bird and the bird watcher?

Answer 1

40.8

Explanation:

Answer 2

40.83°

Explanation:

We are given that,

The horizontal distance between the two birds = 57.4 feet

The distance between the 2nd bird and the bird watcher = 49.6 feet

The given situation is represented by the following figure.

So, using the trigonometric form the angles in a right triangle, we have,

`\tan x=(perpendicular)/(base)`

i.e.
`\tan x=(49.6)/(57.4)`

i.e.
`\tan x=0.8641`

i.e.
`x=\arctan 0.8641`

i.e. x= 40.83°

Hence, the angle of depression between the 1st bird and the bird watcher is 40.83°.