Question

Jada is standing 26 feet from the base of a tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 74°. Find the height of the nest

Answer 1

The height of the building is 90.67ft

Step-by-step explanation:

Given

`\theta = 74^\circ`

`d = 26`

Required

Determine the height of the nest

See attachment for illustration.

From the attachment, we have:

`tan\theta = (Opp)/(Adj)`

This gives:

`tan(74)= (h)/(26)`

Make h the subject

`h = 26 * tan(74)`

`h = 26 * 3.4874`

`h = 90.6724`

`h = 90.67`

The height of the building is 90.67ft