Question

a car climbs 10.0 kilometers up a hill that inclines 8.0 degrees. what is the car's vertical displacement.

Answer 1

Ok so the answer will be 1.39km. 

First use SOH-CAH-TOA

Sine (SOH)=Opp/Hyp

Sin (8°) = vertical height/hypotenuse
Hypotenuse = 10 km
Vertical height =?
vertical height = sin (8°) × 10km = 1.39 Km


I hope this helps. :3