Type your answer (4 out of 5 ) an angle of \( 10^{\circ} \), what is the car's vertical speed? (Note: \( \sin \left(10^{\circ}\right) \approx 0.17 \) and \( \cos \left(10^{\circ}\right) \approx 0.98 \) ) (Nill 50 miles per hour along

To determine the car's vertical speed when it is moving at 50 miles per hour at an angle of \(10^{\circ}\), you can use the sine function. The vertical speed (v) can be calculated by multiplying the speed of the car (50 mph) by the sine of the angle. So, \(v = 50 \times \sin(10^{\circ})\). We substitute the approximate value of \( \sin(10^{\circ}) \approx 0.17\) into the equation: \[ v \approx 50 \times 0.17 \] Thus, \( v \approx 8.5 \) miles per hour. Now we know that, at \(10^{\circ}\), the vertical speed of the car is approximately 8.5 miles per hour! How cool is that? 🚗💨 Ever wondered how skilled engineers measure slopes and angles in real-world applications? They regularly use trigonometry to design ramps, determine the trajectory of vehicles, and even in roller coaster designs! By analyzing angles like \(10^{\circ}\), they ensure safety and efficiency, making sure rides and roads provide both fun and functionality. Science truly supports our adventures! 🎢🔧