Calculus ? a highway runs due north. a car traveling at 50 mph exits the highway at a 30° angle. after driving another 1.5 hours at the same speed and direction, how far away is the car from the highway?

37.5 miles is the answer.

Step-by-step explanation:

Since car is travelling with a speed = 50 mph

Angle between the highway and the track on which the car is travelling = 30°

Now we know sin∅ = distance between highway and the car/Distance traveled by the car on the new track

Distance traveled by the car in 1.5 hours = speed × time

                                                                   = 50 × 1.5 = 75 mi.

Therefore sin 30° = x/75

x = 75×sin30° = 75 × 1/2 = 37.5 mi.

Therefore the answer is 37.5 mi away.

i understand 100% 10/10 hit or miss?

step-by-step explanation: