Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
Regular polygon can be incribed in a circle of radius equal to its side.
so if you join all the vertices to the centre, you will get 6 equilateral triangles. each interior angle will have 2 angles of 60 each. thus interior angle = 120
exterior angle=180-120=60