SOLUTION: You go 50 km West, then 20 km North. How many km are you from where you started? Can someone explain to me how to slove this question please and thank you.

Algebra ->  Pythagorean-theorem -> SOLUTION: You go 50 km West, then 20 km North. How many km are you from where you started? Can someone explain to me how to slove this question please and thank you.      Log On


   



Question 107859This question is from textbook
: You go 50 km West, then 20 km North. How many km are you from where you started?
Can someone explain to me how to slove this question please and thank you.
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the picture:
You go 50 km West, then 20 km North. How many km are you from where you started?
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The picture shows you have two sides of a right angle.
Connect the beginning point to the point where you end up;
that is the distance you need to determine.
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Using Pythagoras:
hypotenuse^2 = 50^2 + 20^2
h^2 = 2500 + 400
h^2 = 2900
h = sqrt(2900)
h = 10sqrt(29) which is approximately 53.85 km
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Cheers,
Stan H.