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Today Puzzle #766

Puzzle No. 766– Monday 22 June

Yesterday was the Summer Solstice and at midday the sun was at its highest. In Bedford there's a 10-metre-tall flagpole beside a playing field and six months ago its noonday shadow across the field was 39 metres long. What will be the length of the shadow at noon today?

Today’s #PuzzleForToday has been set by Hugh Hunt, Reader in Engineering Dynamics and Vibration at Trinity College, Cambridge

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Bedford is at latitude 52.14 degrees.The angle of tilt of the Earth is 23.5 degrees

Winter length of shadow is 10 tan(52.14 + 23.5) = 39 metres (as given) *Summer length of shadow is 10 tan(52.14 - 23.5) = 5.5m

* Note you can solve this without knowing the latitude of Bedford as we're told the length of the winter solstice shadow.

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