Question

A dollar coaster travels 41.1 m at an angle of 40.0° above the horizontal. How far does it move horizontally and vertically?

Answer 1

The horizontal distance:

$$x=s\cos{40}=41.1\cos{40}=31.5\ m$$

The vertical distance:

$$y=s\sin{40}=41.1\sin{40}=26.4\ m$$