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aleksandr82 [10.1K]
3 years ago
5

Valeria drives 500 meters up a hill that makes an angle of 15 degrees with the horizontal. To the nearest tenth of a meter, what

horizontal distance has she covered?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

Answer:

Approximately 485 meters

Step-by-step explanation:

We can first construct a right triangle, using the 500 m length of hill as our hypotenuse. Using the fact that the cosine of an angle is the ratio of the adjacent side to the hypotenuse, we see that

\cos{15^\circ}=\frac{x}{500}

where x is the horizontal distance covered. Solving for x, we find this horizontal distance to be

x=500\cos{15^\circ}\approx500(0.97)=485

so our answer is approximately 485 m.

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