Solve the problem City is due north of city B Find the dista

Solve the problem City is due north of city B. Find the distance between City A(north latitude 49degree N) and City B (latitude 24 degree N). Use 3960miles as the radius of the Earth. A car wheel has a 16-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 2 ft? How many feet has a bug on the tip of a fan blade traveled around the circle swept out by the tip of the fan blade when the angle swept out by the fan blade is 0.845 radians?

Solution

Circumference of wheel = 2 r , (r =13)
= 32 inches = (about) 100.5 inches

2 feet = 24 inches
24 / (32 ) * 2 = 1.5 radians
or
24 / (32 ) * 360 = 270 / degrees = (about) 86 degrees.

3) 2.6ft*0.845 radians = 2.197ft