The Truman Show
Truman suspects that bright light in the sky may not actually be the sun. What if instead of millions of kilometers away, it is merely hundreds of meters up and attached to an invisible ceiling sky ? He devises a shadow measuring experiment.
He stands a 1-meter stick and a 2-meter stick up vertically next to each other.
The 1-meter stick casts a shadow of 3.46 meters long but the 2-meter stick casts a shadow of 6.94 meters long. That's more than twice as long!
To the nearest meter, how high and far is the sun ?
The answer is 348.
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1 solution
x=3.46(y-1), 2x=6.94(y-2)
giving x≈1200m y≈348m.