Question

Miguel drives 220m up a hill that makes a 4° angle with the horizontal ground. To the nearest 10th of a meter what horizontal distance is covered? Only round your answer once

Answer 1

To find the horizontal distance Miguel covered driving up the hill, we use the cosine function with the given hypotenuse of 220 meters and the angle of 4 degrees, resulting in a horizontal distance of approximately 219.9 meters.

Step-by-step explanation:

To find the horizontal distance covered by Miguel driving up the hill, we can use the cosine function, since we are given the hypotenuse (the distance driven up the hill) and the angle with the horizontal. The cosine of an angle in a right triangle is equal to the adjacent side (the horizontal distance, in this case) divided by the hypotenuse.

The formula to find the horizontal distance (d) is:

d = hypotenuse × cos(angle)

Using the values given:

d = 220 m × cos(4°)

Using a calculator, we find:

d ≈ 219.9 m

The horizontal distance covered to the nearest tenth of a meter is 219.9 m.