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

Question 47554This question is from textbook college algebra with modeling and visualization
: Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point? This question is from textbook college algebra with modeling and visualization

Found 2 solutions by stanbon, amalm06:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
Draw the picture.
You have two sides of a right triangle.
Join the end points and you will have the hypotenuse of the triangle.
The answer to your problem is the length of the hypotenuse.
h=sqrt(65^2+75^2)
h=sqrt9850=99.25 miles
Cheers,
Stan H.
Answer by amalm06(224) (Show Source): You can put this solution on YOUR website!
The required distance is equivalent to the diagonal of a parallelogram, in this case a rectangle. That is, consider a rectangle with side lengths 75 and 65. Then the length of the diagonal, d, can be found as follows:
(65)^2+(75)^2=d^2
d=99.25 km (Answer)
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