# Math

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If the shadow of a 45 foot building is 60 feet long what time of day is it?

• Math -

tan(x) = 45/60
x = 36.87°

As for the time of day, since you don't give any information on location, assume sunrise is at 6:00 am and sunset is at 6:00 pm.

In that case, 180° of arc covers 12 hours. Use that to find how many hours after 6 am (or before 6 pm) it is.

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