Question

a builder makes drainpipes that drop 1 cm over a horizontal distance of 30cm to provent clogs a certain drainpipe needs to cover a horizontal distance of 700cm whats is the lenght of the drainpipe? round your answer to the nearest tenth of a centimeter

Answer 1

700.4 cm.

Explanation:

We have a right triangle with horizontal distance 700 and the slope of the pipe is 1/30, so the vertical distance dropped is 700/ 30 = 70/3 cm.

So the length (L) of the pipe is the hypotenuse and by Pythagoras:

L^2 = 700^2 + (70/3)^2

L^2 = 490544.44

L = 700.39 cm