Question 35729
A cyclist bikes 12 miles due west of her house...A TO B SAY
 before changing direction. She travels north an additional 16 miles.B TO C SAY

 If she bikes home on the most direct path back to her house, how many miles must she travel?......C TO A 
WE FIND ANGLE ABC IS 90 DEG.SINCE AB IS WEST AND BC IS NORTH
HENCE CA^2=HYPOTENUSE^2=12^2+16^2=144+256=400
CA=20 MILES