Question

The headlights on a car are set so the light beam drops 2 in. for each 21 ft measured horizontally. If the headlights are mounted 24 in. above the​ ground, how far ahead of the car will they hit the​ ground?

Question content area bottom

The light beam will hit the ground at a distance of _____ ft ahead of the car

Answer 1

The light beam will hit the ground at a distance of _756_ ft ahead of the car

Explanation:

Let x be the distance in feet ahead of the car at which the light beam hits the ground.

Since the light beam drops 2 inches for each 21 feet measured horizontally, we can write the relationship between the height of the light beam and the distance x as:

24 - (2/21)x = 0

Solving for x, we get:

x = (21/2) * 24

x = 756

So the light beam will hit the ground 756 feet ahead of the car.