If a car is driving up a hill at 50 miles per hour along an angle of \( 10^{\circ} \), what is the car's horizontal speed? (Note: \( \sin \left(10^{\circ}\right) \approx 0.17 \) and \( \left.\cos \left(10^{\circ}\right) \approx 0.98\right) \)

To find the car's horizontal speed while driving up the hill, we can use the cosine of the angle to project the speed onto the horizontal axis. The formula is: Horizontal Speed = Speed × cos(angle) In this case: Horizontal Speed = 50 miles/hour × cos(10°) = 50 miles/hour × 0.98 ≈ 49 miles/hour. So, the car's horizontal speed is approximately 49 miles per hour! Now, to visualize it, imagine you’re cruising along a scenic road, enjoying the view while also calculating those angles. The angle makes it seem steeper, but your speed on flat ground still feels speedy!