Question

Grain elevators are conveyor belts used throughout the Midwest to take produce, like wheat, to the top of a silo for storage. The conveyor belt is approximately 70.7 feet long and rises from the ground at 45˚. What is the height of the silo? Round to the nearest foot.

Group of answer choices

65 feet

100 feet

86.6 feet

50 feet

Answer 1

• B. 100 feet

Explanation:

We are looking for the length of the hypotenuse of the 45° right triangle with side of 70.7 ft.

We know the equation:

• h = s√2, is the length of the hypotenuse and side s

Substitute and calculate:

• h = 70.7*√2 = 99.98 ≈ 100 ft

Correct choice is B