SOLUTION: starting from point A on a flat play ground, a child walks 10 yards due north , then 6 yards due east , and then 2 yards due south, arriving at point B. How far apart, in yards, ar
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Question 308021: starting from point A on a flat play ground, a child walks 10 yards due north , then 6 yards due east , and then 2 yards due south, arriving at point B. How far apart, in yards, are points A and B Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! If you draw a diagram of the problem you'll get the following:
From the starting point go 10 units up (NORTH)
Then go 6 units to the right (EAST).
Now go 2 units down (SOUTH)
You are now 8=(10-2) units UP & 6 units RIGHT of the starting point.
Now draw a line from the starting point to the end point.
You now have a triangle that is a right triangle with length=6 & height=8.
Now find the hypotenuse using the formula a^2+b^2=c^2.
You are now 8 yards north & 6 yards east of the starting point.
6^2+8^2=c^2
36+64=c^2
100=c^2
c=sqrt100
c=10 miles between the starting point & the end point.
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