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 45Ëš. 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

Respuesta :

Answer:

  • B. 100 feet

Step-by-step 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