a research station in antartica is at approximately 75 degreess latitude. how many miles is the station from the equator, given that the radius of the earth is approximately 4000 miles? round your answer to the nearest mile.

Answer 1

Use Arc length = rθ ....(1)
where θ is the arc angle in radians.

Since θ=75°=75*180/π radians
the arc-length, or terrestrial distance can be calculated from equation (1).