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?
1 answer:
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
where x is the horizontal distance covered. Solving for x, we find this horizontal distance to be
so our answer is approximately 485 m.
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