A conveyor belt carrries supplies from the first floor to the second floor, which is 12 feet higher. The belt makes a 60 degree angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other?

Answe

The unknown length is the hypotenuse of the right angle formed when connecting the top of the second floor and the distance from the wall from which the belt is installed. Using the trigonometric function, sine, the equation becomes,

                                     sin 60° = 12 ft / h

The value of h from the equation is 13.86 ft. Thus, the answer is 13.86 ft.