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? (1 point) Responses
A. 1,262.8 meters
B. 200.4 meters
C. 197.5 meters
D. 31.3 meters
The horizontal distance covered can be calculated using the formula:
horizontal distance = distance / cos(angle)
horizontal distance = 200 / cos(9°)
horizontal distance ≈ 200 / 0.988
horizontal distance ≈ 202.0 meters
Therefore, to the nearest tenth of a meter, Viola has covered 202.0 meters horizontally. None of the given options match this value exactly, but the closest option is:
B. 200.4 meters