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
1,262.8 meters
1,262.8 meters
200.4 meters
200.4 meters
197.5 meters
197.5 meters
31.3 meters
To find the horizontal distance, we can use trigonometry. The horizontal distance is equal to the adjacent side of the triangle formed by the hill and the horizontal ground.
We can use the formula `adjacent = hypotenuse * cos(angle)`. The hypotenuse is the distance Viola drives, which is given as 200 meters. The angle is 9°.
Therefore, the horizontal distance is `200 * cos(9°)`, which is approximately 197.5 meters.
So, the correct answer is 197.5 meters.