Question

You are measuring the height of a Ferris wheel at an amusement

park. You are standing 125 feet from its base. You measure the angle
of elevation from a point on the ground to the top of the Ferris wheel
to be 51°. Estimate the height of the Ferris wheel. Round your
answer to the nearest foot.

Answer 1

154 ft

Explanation:

A right triangle is formed, where the height of the wheel (h) is one leg, the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)

From definition:

tan(51°) = opposite/adjacent

tan(51°) = h/125

h = tan(51°)*125

h = 154 ft