The length of the shadow will be 11.55 ft. It is found by the help of the tangent formula of trigonometry.
What is the depression angle?
Angle of depression is the angle formed by the horizontal and the place where your head came to a halt.
You keep your gaze level with the ground. When you need to keep an eye on anything, though, you raise your head and lower your gaze.
The given data in the problem is;
Angle of depression = 60°
Length of the shadow(x) = ?
Height of flagpole = 20 ft
From trigonometry formula of tanΘ is;
[tex]\rm tan \theta = \frac{P}{B} \\\\ tan60^0=\frac{20}{x} \\\\ x= \frac{20}{tan60^0} \\\\ x= \frac{20}{\sqrt{3} } \\\\ x=11.55 \ ft[/tex]
Hence, the length of the shadow will be 11.55 ft.
To learn more about the depression angle, refer to the link;
https://brainly.com/question/13514202
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