Proportions
Question 16, 4.1.C-13
HW Score: 76.95%, 15 of 19 points
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The headights on a car are sel so the light beam drops 2 in. lor each 24 il measured horizontaly If the headights are mounted 24 in above the ground, how far ahead of the car will they hit the ground?

The light beam will hil the ground at a distance of fi ahead of the car
(Simplify your answer)

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Proportions
Question 16, 4.1.C-13
HW Score: 76.95%, 15 of 19 points
Save
Points: 0 of 1

The headights on a car are sel so the light beam drops 2 in. lor each 24 il measured horizontaly If the headights are mounted 24 in above the ground, how far ahead of the car will they hit the ground?

The light beam will hil the ground at a distance of

fi ahead of the car
(Simplify your answer)

UpStudy AI · Accepted Answer

To determine how far ahead of the car the headlights will hit the ground, let's analyze the given information:

1. **Height of the Headlights:** 24 inches above the ground.
2. **Beam Drop Rate:** The light beam drops 2 inches for every 24 inches measured horizontally.

We can set up a proportion to solve for the horizontal distance $$ x $$ where the beam hits the ground:

$$
\frac{2 \text{ in}}{24 \text{ in}} = \frac{24 \text{ in}}{x}
$$

**Solving for $$ x $$:**

$$
x = \frac{24 \text{ in} \times 24 \text{ in}}{2 \text{ in}} = \frac{576 \text{ in}^2}{2 \text{ in}} = 288 \text{ inches}
$$

**Converting Inches to Feet:**

$$
288 \text{ inches} \div 12 \text{ inches/foot} = 24 \text{ feet}
$$

**Answer:**  
The light beam will hit the ground **24 feet** ahead of the car.
The light beam will hit the ground **24 feet** ahead of the car.

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