Question

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In one area, the lowest angle of elevation of the sun in winter is 20° 12'. Find the
minimum distance, x, that a plant needing full sun can be placed from a fence
4.96 ft high.

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​'.

Step-by-step 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.