Viola drives 200 meters up a hill that makes an angle of 9° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

a. 1,262.8 m
b. 200.4 m
c. 197.5 m
d. 31.3 m

Question

Viola drives 200 meters up a hill that makes an angle of 9° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

a. 1,262.8 m
b. 200.4 m
c. 197.5 m
d. 31.3 m

anonymous · Answer

Find this by multiplying 200 by sin(9degrees)

If you draw out the triangle you can prove this to yourself with sine law.

I got 31.3m

anonymous · Answer

ok, thanks. That's what I thought it was also, but wanted to verify.

anonymous · Answer

wait! 197.5m

anonymous · Answer

Hold on a second I'm losing my mind here

anonymous · Answer

oh I said sine rather than cosine. that's where it's wrong.

so because it is an angle with the horizontal you multiply 200 by cos(9deg)

this gives you 197.5m