Question

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

Answer 1

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step 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:

$Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft$

Height of tree =  28.2 ft (Approx)