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Ivahew [28]
3 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]3 years ago
8 0

Answer:

The correct Answer for Khan Academy is 700.4

Step-by-step explanation:

maksim [4K]3 years ago
3 0
<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

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