# math

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What is the height of a cliff if at 10 am the shadow is 2 feet long?

• math -

If we are to assume that the sun is on the horizon at 6 am, and directly overhead at noon, then at 10 am its angle of elevation is 4/6 * 90° = 60°

So, you have a nice 30-60-90 triangle, with the short leg (the shadow) = 2, so the long leg (the cliff) is 2√3.

Not much of a cliff.

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