SOLUTION: A cyclist bikes 12 miles due west of her house before changing direction. She travels north an additional 16 miles. If she bikes home on the most direct path back to her house, how

Question 35729: A cyclist bikes 12 miles due west of her house before changing direction. She travels north an additional 16 miles. If she bikes home on the most direct path back to her house, how many miles must she travel?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
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
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