SOLUTION: Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?

Question 77197: Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?

Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
If you travel 65 km north and than 75 km east, you have formed the legs of a triangle. The distance traveled represents the hypotenuse of the triangle. Us the Pythagorean Theorem to solve:
=
a=65
b=75
c=the hypotenuse
.
Plug-in the values and solve for c:
=
=
= [solve for the c-term by taking the square root of each side]
.
=
99.247=c
.
Check by plugging all of the values back into the original formula:
=
=
9850=9849.987 [close enough]

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