The measure of the angle of elevation of the sun is 32° when a building casts a shadow 250 feet long. How tall is the building to the nearest tenth of a foot?

Respuesta :

Answer:

156.2 feet

Step-by-step explanation:

We can solve this using the tangent function.

Let x represent the height of the building.

[tex]tan(32) = \frac{x}{250}[/tex]

Thus, we can solve x by the equation:

[tex]x = 250tan(32)[/tex]

x = 156.2 feet