A moving conveyor is built so that it rises 3 meter for each 5 meters of horizontal travel.The conveyor runs between two floors in a factory.The distance between the floors is 4 meters.Find the length of the conveyor.Round your answers to one decimal place.
A) $24.3 \mathrm {~m}$
B) $25.3 \mathrm {~m}$
C) $22.3 \mathrm {~m}$
D) $21.3 \mathrm {~m}$
E) $23.3 \mathrm {~m}$

Question

A moving conveyor is built so that it rises 3 meter for each 5 meters of horizontal travel.The conveyor runs between two floors in a factory.The distance between the floors is 4 meters.Find the length of the conveyor.Round your answers to one decimal place. 
A) $24.3 \mathrm {~m}$
B) $25.3 \mathrm {~m}$
C) $22.3 \mathrm {~m}$
D) $21.3 \mathrm {~m}$
E) $23.3 \mathrm {~m}$

Quizplus · Accepted Answer

The conveyor forms a right triangle with a vertical rise of 4 meters and a horizontal run calculated using the ratio 3:5. The horizontal distance is $\frac{4}{3} \times 5 = \frac{20}{3}$ meters. Using the Pythagorean theorem, the length of the conveyor is $\sqrt{4^2 + \left(\frac{20}{3}\right)^2} \approx 23.3$ meters.

A Moving Conveyor Is Built So That It Rises 3 24.3 m24.3 \mathrm {~m}24.3 m

A Moving Conveyor Is Built So That It Rises 3 $24.3 \mathrm {~m}$