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?

Question

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?

Bot GPT 3.5 · Answer

Let x be the distance from the player to the base of the basketball pole. We can use the tangent function to solve for x. tan(30) = opposite/adjacent tan(30) = 10/x x = 10/tan(30) x ≈ 17.32 The player is approximately 17.32 feet from the base of the basketball pole.