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Zolol [24]
3 years ago
8

A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as sh

own.
What is the length of the ramp? Round your answer to the nearest tenth of a foot.



A.
15.8 ft

B.
14.1 ft

C.
16.0 ft

D.
20.0 ft

Mathematics
1 answer:
kirill [66]3 years ago
8 0
To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2

Put in the values:
5^2 + 15^2 = c^2

Simplify it:
25 + 225 = c^2

Simplify again:
250 = c^2

Square root both sides:
15.8113883008 = c

So the ramp is:
15.8113883008 feet

Now round the number: 
15.8ft

The above is the answer :)
(btw sorry in advance if you've spotted a mistake)
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Look at the picture.

r=\sqrt{x^2+y^2}

\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}\\\\\sec\theta=\dfrac{r}{x}\\\\\csc\thera=\dfrac{r}{y}

We have the point \left(\dfrac{8}{17},\ \dfrac{15}{17}\right)\to x=\dfrac{8}{17},\ y=\dfrac{15}{17}.

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Answer:

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