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

Question

A. 1,262.8 meters
B. 200.4 meters
C. 197.5 meters
D. 31.2 meters

Answer 1

Using trigonometry, we can find the horizontal distance covered by Viola:

horizontal distance = 200 meters / tan(9 degrees)
horizontal distance ≈ 200 / tan(9)
horizontal distance ≈ 200 / 0.1584
horizontal distance ≈ 1262.8 meters

Therefore, to the nearest tenth of a meter, Viola has covered a horizontal distance of 1,262.8 meters. The answer is A. 1,262.8 meters.