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

The conveyor rises 1 meter for every 5 meters horizontally, so for a 10-meter vertical rise, it would cover 50 meters horizontally. To find the length of the conveyor, we use the Pythagorean theorem: $\sqrt{10^2 + 50^2} = \sqrt{100 + 2500} = \sqrt{2600} \approx 51$ meters.

A Moving Conveyor Is Built to Rise 1 Meter for Every