A moving conveyor is built to rise 1 meter for every 5 meters of horizontal change. Suppose the conveyor runs between two floors in a factory.Find the length of the conveyor if the
Vertical distance between floors is 10 meters.Round your answer to the nearest meter.
A)61 meters
B)39 meters
C)51 meters
D)50 meters
E)41 meters

Question

Quizplus · Accepted Answer

According to the problem, the conveyor rises 1 meter for every 5 meters of horizontal change. This means that the slope of the conveyor is 1/5 or 0.2.

Let's use the Pythagorean theorem to solve for the length of the conveyor:

Length^2 = Vertical distance^2 + Horizontal distance^2

Length^2 = 10^2 + x^2 (where x is the horizontal distance)

Since the slope is 0.2, we know that for every 1 meter of vertical distance, there are 5 meters of horizontal distance. Therefore:

x = 5(10) = 50

Plugging this value into the equation above, we get:

Length^2 = 10^2 + 50^2

Length^2 = 2600

Length ≈ 50.99

Rounding to the nearest meter, we get a length of 51 meters. Therefore, the answer is C.

A Moving Conveyor Is Built to Rise 1 Meter for Every