In one area, the lowest angle of elevation of the sun in winter is 23 ° 18 '. Find the minimum distance, x, that a plant needing full sun can be placed from a fence 4.63 ft high.

Question

Physics

Malcolm Blackburn

18 April, 18:49

In one area, the lowest angle of elevation of the sun in winter is 23 ° 18 '. Find the minimum distance, x, that a plant needing full sun can be placed from a fence 4.63 ft high.

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Answers (1)

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Annabelle Cooley · Answer 1

A plant needing full sun can be placed from a fence 4.63 ft high at a distance of 10.75 meter if the lowest angle of elevation of the sun in winter is 23 ° 18 '.

Explanation:

The given figure shows the arrangement of sun, 4.63 ft high and plant needing full sun.

By using trigonometric result, tan θ = Opposite side/Adjacent side.

Substituting

tan (23 ° 18 ') = 4.63 ft/x

x = 4.63 ft / tan (23 ° 18 ') = 10.75 m

So that a plant needing full sun can be placed from a fence 4.63 ft high at a distance of 10.75 meter.