If a car is climbing a hill, how many horizontal feet will the car travel every 500 feet of road if the car gains 71 feet of vertical feet? 275 485 495

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To determine the horizontal distance a car travels while climbing a hill, we can model the situation using the Pythagorean theorem. Here's a step-by-step breakdown:

1. **Understanding the Problem:**
   - **Hypotenuse (Road Distance):** 500 feet
   - **Vertical Gain:** 71 feet
   - **Horizontal Distance (What we need to find):** Let's call this $$ x $$.

2. **Applying the Pythagorean Theorem:**
   $$
   x^2 + 71^2 = 500^2
   $$
   
3. **Calculating the Values:**
   $$
   x^2 + 5041 = 250000
   $$
   
   $$
   x^2 = 250000 - 5041 = 244,959
   $$
   
4. **Solving for $$ x $$:**
   $$
   x = \sqrt{244,959} \approx 494.94 \text{ feet}
   $$
   
5. **Rounding to the Nearest Whole Number:**
   $$
   x \approx 495 \text{ feet}
   $$

**Answer:** 495
The car travels approximately 495 horizontal feet every 500 feet of road.

If a car is climbing a hill, how many horizontal feet will the car travel every 500 feet of road if the car gains 71 feet of vertical feet? 275 485 495

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