SOLUTION: to go to a stadium from your house you drive 1000 m north then 500 mi west then 1500 mi south. what is the straight line distance from your house to the stadium

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Question 159287This question is from textbook
: to go to a stadium from your house you drive 1000 m north then 500 mi west then 1500 mi south. what is the straight line distance from your house to the stadium This question is from textbook

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
This is equivalent to driving 500 mi south and 500 mi west. There is an isosceles right triangle.
2a^2=c^2
2*250000=500000
sqrt(500000)=707.107 mi (the slow way)
.
On the SAT test we know that if both sides are 1 then the hypotenuse is sqrt(2).
So if you multiply the side time sqrt(2) you get the answer the fast way!
500*sqrt(2)=707.107
.
Ed