Question

A builder makes drainpipes that drop 1\,\text{cm}1cm1, start text, c, m, end text over a horizontal distance of 30\,\text{cm}30cm30, start text, c, m, end text to prevent clogs. See the diagram below, which is not drawn to scale:

A certain drainpipe needs to cover a horizontal distance of 700\,\text{cm}700cm700, start text, c, m, end text.

What is the length \ellℓell of this drainpipe?

Answer 1

Answer:

700.4

Step-by-step explanation:

I just got it off Khan Academy.

Answer 2

Answer:

700.4 cm is the length of the drainpipe.

Step-by-step explanation:

By using the hypotenuse theorem, we can calculate the length of the longest side of the drain pipe.

$\sqrt{(1cm)^{2} + (30cm)^{2} }$

= $\sqrt{901cm^{2} }$

Using the similarity theorem,

$\frac{l}{\sqrt{901} }$ = $\frac{700}{30}$

l = $\frac{700}{30} X \sqrt{901}$

l ≈ 700.373

Therefore, the length of the drain pipe is almost 700.4 cm.

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