The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

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03-07-2018
Mathematics

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The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

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sqdancefan sqdancefan · Answer 1 · 2018-07-03T22:02:31+02:00

sqdancefan sqdancefan

03-07-2018

The TOA part of SOH CAH TOA tells you ...
Tangent = Opposite/Adjacent

When applied to the triangle of shadow and person, this means
tan(24°) = (1.82 m)/(shadow length)
This can be rearranged to
(shadow length) = (1.82 m)/tan(24°) ≈ 4.09 m

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