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?
To find the horizontal distance covered by Viola, we can use trigonometry.
We know that the angle of elevation is 9° and the vertical distance covered is 200 meters. Let h be the horizontal distance covered.
Using the tangent function:
tan(9°) = vertical distance / horizontal distance
tan(9°) = 200 / h
h = 200 / tan(9°)
h ≈ 200 / 0.1584
h ≈ 1262.63 meters
Therefore, to the nearest tenth of a meter, Viola has covered approximately 1262.6 meters horizontally.