City a is due north of city b. find the distance between city a (36 degrees 6 prime36°6′ north latitude) and city b (21 degrees 42 prime21°42′ north latitude). assume that the radius of earth is 3960 miles. the distance between city a and city b is how many miles?

distance = 994.75 miles

Step-by-step explanation:

given data

City A = 36°6′ = 36° + = 36.1° = 36.1° × = 0.6297 rad

City B = 21°42′ = 21° + = 21.7° = 21.7° × = 0.3785 rad

multiply by π/180 to convert the degree to radian

radius of Earth = 3960 miles

to find out

distance between City A and City B

solution

we first get here central angle between A and B city is

central angle between A and B city = 0.6297 rad - 0.3785 rad

and

now by arc length so  we get distance

distance = 3960 miles × (0.6297 rad - 0.3785 rad )

distance = 994.75 miles

87%

step-by-step explanation:

apex answer