Question

Find , to the nearest tenth of a foot , the height of the tree represented in the accompanying diagram.

Answer 1

Height of tree = 28.2 ft (Approx)

Explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree =
`X`

Find:

Height of tree =
`X`

Computation:

Using trigonometric application:

`Tan\ 62 = (Height\ of\ tree)/(Distance\ from\ a\ point\ to\ base\ of\ tree) \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=(Height\ of\ tree)/(15) \\\\Height\ of\ tree=28.2ft`

Height of tree = 28.2 ft (Approx)