Question

When a farmer is standing 80 feet from a silo, he must look up

at an angle of 52 degrees relative to the Horizontal to see the top
of the silo. How tall is the Silo?

Answer 1

102.40 ft

Explanation:

This system can be described as a right triangle with the horizontal distance from the silo (80 ft) being the side adjacent to the 52-degree angle, and the height of the silo (h) being the side opposite to the angle. Therefore, the height can be found by:

`tan(52) = (h)/(80)\\ h=102.40\ ft`

The silo is 102.40 feet tall.