SOLUTION: given a circle with the radius of 3960 miles, assume that the distance AB is a straight line, and triangle AOB is a right triangle with a right angle at B. Angle O is 1/60 of 1 de

Algebra ->  Trigonometry-basics -> SOLUTION: given a circle with the radius of 3960 miles, assume that the distance AB is a straight line, and triangle AOB is a right triangle with a right angle at B. Angle O is 1/60 of 1 de      Log On


   



Question 144732: given a circle with the radius of 3960 miles, assume that the distance AB is a straight line, and triangle AOB is a right triangle with a right angle at B. Angle O is 1/60 of 1 degree. Find the distance of AB.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
tan(O) = AB/3960
AB = 3960*tan(1/60)
AB = 1.1519 miles, or 6082 feet
This is the definition of a Nautical Mile (or close to it), 1 minute of arc at the equator.