Question

A conveyor belt carries supplies from the first floor to the second floor, which is 24 feet higher. The belt makes a 60° angle with the ground.

How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot.

If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor?

Here are the answer choices:
34 ft; 21 min
42 ft; 35 min
14 ft; 1 min
28 ft; 0.4 min

Answer 1

First off, you should note that this is a 30-60-90 triangle. The special property of a 30-60-90 triangle is that the ratios of the three sides are x : 2x : x(square root of 3).