SOLUTION: find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line and that the radius of the earth is 6400 km. City E,

Algebra ->  Trigonometry-basics -> SOLUTION: find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line and that the radius of the earth is 6400 km. City E,       Log On


   

Question 1060630: find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line and that the radius of the earth is 6400 km. City E, 13°N and city F, 73°S
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line
and that the radius of the earth is 6400 km. City E, 13°N and city F, 73°S
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The distance is R%2Aalpha = 6400%2A%28%2813%2B73%29%2F360%29%2A2pi kilometers.

13° + 73° is the measure of the arc between the cities in degrees.

The ratio %2813%2B73%29%2F360 shows which part of the entire circle is your arc.

The number %28%2813%2B73%29%2F360%29%2A2pi is the measure of the arc in radians.

R%2Aalpha is the length of the arc of a circle, where alpha is the arc's measure in radians.