A player is standing on a basketball court. The angle of elevation from the foot of the player to a 10 foot high basket is 30 degrees. How far is the player from the base of the basketball pole?

Answer 1

To solve this problem, we can use trigonometry.

Let x be the distance from the player to the base of the basketball pole.

Since the angle of elevation is 30 degrees, we can use the tangent function:

tan(30 degrees) = opposite/adjacent

tan(30 degrees) = 10/x

Solving for x:

x = 10 / tan(30 degrees)

x ≈ 17.32 feet

Therefore, the player is approximately 17.32 feet from the base of the basketball pole.