SOLUTION: An airplane departs from point A with a destination of point B, which is 200 miles away.Halfway there, the pilot finds he is one mile off course. He makes a correction and flies d

Algebra ->  Test -> SOLUTION: An airplane departs from point A with a destination of point B, which is 200 miles away.Halfway there, the pilot finds he is one mile off course. He makes a correction and flies d      Log On


   



Question 705344: An airplane departs from point A with a destination of point B, which is 200 miles away.Halfway there, the pilot finds he is one mile off course. He makes a correction and flies directly to point B. How much EXTRA distance did he fly by being off course?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
YOU HAVE 2 RIGHT TRIANGLES.
100 BY 1 BY X.
100^2+1^2=X^2
10000+1=X^2
X=SQRT10001
X=100.04999
100.4999-100=.4999 MILES
2*.4999=.9998 MILES EXTRA IS THE DISTANCE.