Conveyor belts are being set up in the factory to assist with manufacturing.

The length of one of the conveyor belts was 5.2 m. It needs to be set up as shown below. What horizontal distance is needed on the floor to set up the conveyor belt? Round your answer to two places of decimal. Pythagorean 5.2m, 0.8m

1 answer

To find the horizontal distance needed on the floor to set up the conveyor belt, we can use the Pythagorean theorem:

a^2 + b^2 = c^2

where a = 5.2m and b = 0.8m

Plugging in the values:

5.2^2 + 0.8^2 = c^2
27.04 + 0.64 = c^2
27.68 = c^2
c = √27.68
c ≈ 5.26

Therefore, the horizontal distance needed on the floor to set up the conveyor belt is approximately 5.26 meters.