SOLUTION: Two cars start at the same place. They drive in opposite directions for 11 miles, they both turn to their left and drive 6 miles, then they both turn to their left and drive 3 mile
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Question 474436: Two cars start at the same place. They drive in opposite directions for 11 miles, they both turn to their left and drive 6 miles, then they both turn to their left and drive 3 miles, and stop. How far apart are they when they stop? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! if I did this correctly, they should be 20 miles apart.
check out the diagram to see what's happening.
from the point in the middle you see right 11 miles then up 6 miles then left 3 miles.
from the point in the middle you see left 11 miles then down 6 miles then left 3 miles.
the figures abgove the line of AC are congruent to the figures below the line of AC.
in particular, rectangle AFGH is congruent to rectangle CDEI.
also in particular, triangle BHG is congruent to triangle BIE.
The line GE is a straight line between points E and G.
Those are the points where the two cars eventually stop.
Triangle BHG and triangle BIE are both right triangles.
BG is the hypotenuse of triangle BHG.
BE is the hypotenuse of triangle BIE.
each of these triangles has a hypotenuse that is equal to the square root of (8 squared plus 6 squared) which is equal to the square root of (100) which is equal to 10.
add 10 and 10 together to get 20.
this is the distance between the 2 cars.
