If a central angle with its vertex at the center of the eart

If a central angle with its vertex at the center of the earth has a measure of 1 distance) has measure of 1 nautical mile (see the figure below). Find the number of reguiar (statuite) milies in 1 nautical mile to the neanest hundredth of a mile, (Use 4.000 miles for the radius of the earth) I nautical mle Radrox of Earth 000 miles Through ho many cadians does the mrute hard of a ceck tun during a 2 minte period

Solution

1 degree = 1 nautical mile

central angle of 1 degree subtends an angle of 1/360 of the circumference of the circle

n = (1/60*360) (2 * pi * 4000)

n = 1.16 miles

number of regular miles in 1 nautical mile is 1.16 miles