Question

Miguel drives 220 meters up a hill that makes an angle of 4o with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? Only round your answer once.

Answer 1

168.5 meters is the horizontal distance covered

Explanation:

Here, we simply want to calculate the value of the horizontal distance traveled

This is same as calculating the horizontal component

What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent

So we make use of cos

cos 40 = x/220

x = 220 cos 40

x = 168.53 meters

To the nearest tenth, this is 168.5 meters