Question
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?
A. 1,262.8 meters
B. 200.4 meters
C. 197.5 meters
D. 31.2 meters
A. 1,262.8 meters
B. 200.4 meters
C. 197.5 meters
D. 31.2 meters
Answers
GPT 3.5
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.
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.