Question

Jada is standing 10 feet away from the base of the tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 55 degrees. Find the height of the nest.

Answer 1

here is your answer ..have a good day.

Answer 2

14.3 feet

Explanation:

Let the height of the tree = x feet.

It is given that the horizontal distance from the base of tree = 10 feet and the angle of elevation to the nest is 55°.

So, we get the following figure.

As, we are obtaining a right angled triangle.

Using the trigonometric form for the angles of a right angled triangle, we get,

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

i.e.
`\tan 55=(x)/(10)`

i.e.
`x=10* \tan 55`

i.e.
`x=10* 1.43`

i.e.
`x=14.3`

Hence, the height of the tree is 14.3 feet.