Question

A nature photographer is standing 65 feet from the base of a waterfall – she is looking up at the top of the waterfall, and her line of sight makes a 48 degrees angle with the ground. How tall is the waterfall? Please show all work.

Answer 1

The height of the waterfall is approximately 63.79 feet.

Step-by-step explanation:

To find the height of the waterfall, we can use trigonometry. The opposite side of the angle is the height of the waterfall, and the adjacent side is the distance from the photographer to the waterfall. We can use the tangent function to find the height:

tan(48 degrees) = height/65 feet

Solving for height:

height = 65 feet * tan(48 degrees)

Using a calculator, we can find that the height of the waterfall is approximately 63.79 feet.