Originally posted by TourDeForce: Originally posted by sonza68: 10/10
I didn't realize they'd be allowed to do this with a calculator. The last one takes a little effort to do by hand.
10/10 for me. Calculator? You're allowed to use one?
That was my response when I saw the solution for #10.
Quote:
Solution: First figure out how far it is to walk around: x = 400 + 600 x = 1,000 ft
Now figure out how far it is to walk diagonally across. The distance across is the long side (the hypotenuse) of a right triangle with sides of length 400 and 600. The square of the length of the hypotenuse is equal to the sum of the squares of the shorter sides: h2 = 400^2 + 600^2 h2 = 160,000 + 360,000 h2 = 520,000
Use a calculator to take the square root of both sides and round off to the nearest whole number: h = 721
Now subtract the distance across the field from the distance around the field: 1,000 - 721 = 279
The distance across is therefore about 279 feet less than the distance around.
Tom
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