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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

Respuesta :

Answer:

700.4 cm.

Step-by-step 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

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