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

700.4cm

Explanation:

The ratio of the vertical drop to the horizontal distance covered is 1 cm / 30 cm.

If you draw the drainpipe as a straight line, the angle of inclination, β, will be such that:

tan (β) = 1/30

Then, β = arctan (1/30) = 1.90915º

Now you can relate the length of the drainpipe with the angle and the horizontal distance with the trigonometric ratio cosine:

cos (β) = adjacent leg / hypotenuse

cos (β) = horizontal distance / length of the drainpipe

length of the drainpipe = 700cm / cos (.190915º)

length of the drainpipe = 700.4 cm ← answer