Answer:
5.21 miles
Explanation:
The set up will be a right angle triangle (an inclined plane). The height of the inclined plane is the opposite side of the triangle while the distance traveled by the car along the slope will be the hypotenuse with angle of inclination of 10°.
Using the SOH trigonometry identity i.e sinθ = opposite/hypotenuse
sin 10° = opposite/30
opposite = 30sin10°
opposite = 5.21 miles
Hence the car must have traveled 5.21 miles up the hill before starting to roll back down.
