Question

Find the height of the building.

Answer 1

The height of building is 117 feet approximately

Solution:

We have to find the height of building

Let "x" be the height of building

Given angle of elevation is 25 degrees

We can use the tan formula to calculate the height "x"

$tan \theta = \frac{opposite}{adjacent}$

Here opposite = x and adjacent = 250 feet

$\theta = 25^{\circ}$

Substituting in formula we get,

$tan 25 = \frac{x}{250}\\\\0.4663 = \frac{x}{250}\\\\x = 0.4663 \times 250\\\\x = 116.57$

Thus height of building is 117 feet approximately