A basketball player spots the front of the rim of a basketba

A basketball player spots the front of the rim of a basketball hoop at an angle of elevation of 18 5 degree If the player\'s eyes are located 5 feet above the ground find the horizontal distance between the basketball player and the front of the rim (Assume that the rim of the basket is 10 feet from the floor) The basketball player is feet away from the front of the rim (Type an integer or a decimal. Do not round until the final answer. Then round to two decimal places as needed)

Solution

Let the horizontal distance be x feet

tan 18.5=5/x

x=5/tan18.5=14.94feet

The basketball ball player is 14.94 feet away.