Calculate, using Ptolemy’s methods, the length of a noon shadow of a pole of length 60...

victoria1

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8 years ago

Calculate, using Ptolemy’s methods, the length of a noon shadow of a pole of length 60...

8. Calculate, using Ptolemy’s methods, the length of a noon shadow of a pole of length 60 at the vernal equinox at a place of latitude 40◦.

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bio_man

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8 years ago

At noon on the equinox the Sun will be vertically ahead at the Equator so the Sun's rays will make an angle of 40 degree with the pole. If s is the length of the shadow we shall have, therefore
s/60 = tan 40 so
s = 60 tan 40 = 50.346

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