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.

 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.

c. magnitude and direction