The length of the shadow is 124.7 in
Explanation:
Angle of sun to the ground, θ = 30°
Height of the fence, h = 72 in
Length of the shadow, l = ?
We know,
tan θ = (Perpendicular)/(Base)
So,
tan 30° = [tex]\frac{72}{l}[/tex]
[tex]\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7[/tex]
Therefore, the length of the shadow is 124.7 in
