A builder makes drainpipes that drop 1 cm over a horizontal distance of 30cm to prevent clogs a certain drainpipe needs to cover

Question

4 years ago

7

A builder makes drainpipes that drop 1 cm over a horizontal distance of 30cm to prevent clogs a certain drainpipe needs to cover

a horizontal distance of 700cm whats is the length of the drainpipe? round your answer to the nearest tenth of a centimeter

Mathematics

2 answers:

vodka [1.7K] · Answer 1 · 2021-11-03T20:15:41+03:00

vodka [1.7K]4 years ago

8 0

Answer:

The correct Answer for Khan Academy is 700.4

Step-by-step explanation:

maksim [4K] · Answer 2 · 2021-11-03T18:36:35+03:00

<h2>Answer:</h2><h2>Length of the drainpipe = 700.7 cm</h2>

Step-by-step explanation:

Given a builder makes drainpipes that drop 1 cm over a horizontal distance of 30cm to prevent clogs. The ratio of the vertical drop to the horizontal distance covered is $\frac{1}{30}$ cm.

The angle of inclination,

tan(θ) = $\frac{1}{30}$

θ = 1.9º

By trignometric ratio,

cos(θ) = $\frac{horizontal distance}{length of the drainpipe}$

length of the drainpipe = $\frac{700}{cos(1.91)}$ = $\frac{700}{0.999}$

length of the drainpipe = 700.7 cm