Question

A bird sits at the top of a 24 foot tall tree. The bird is seen by a cat which is standing 12 feet away from the tree. To the nearest degree, what is the angle of elevation from the cat to the bird?

Answer 1

The angle of elevation from the cat to the bird
`63.43^(\circ)`

Explanation:

Given:

The height of the tree at which the bird is sitting = 24 foot

Distance between the cat and the tree = 12 foot.

To Find:

The angle of elevation from the cat to the bird = ?

Solution:

The angle of elevation of an object as seen by an observer is the angle between the horizontal and the line from the object to the observer's eye (the line of sight).

From the below figure,

We can find the angle of elevation by

`tan \theta = (opposite)/(adjacent)`

Substituting the values ,

`tan \theta = (24)/(12)`

`tan \theta = 2`

now
`tan^(-1)(2)` =
`63.43^(\circ)`