To capture his feet and head, the camera will need to be moved at least one foot backward. This is an Angles of Elevation and Depression theorem exercise.
The angle of elevation is the angle between the line of sight and the horizontal line when an observer looks up. While the Angle of Depression refers to the angle that is formed when the observer looks down.
The formulas are given as:
tan θ = y/x ⇒ θ = tan -1 (y/x).
Let us assume that x is the distance in feet that the tripod must be moved back.
Recall that the angle of depression and elevation as given in the question (full version attached) is 20°
The height of the Tripod is 4 feet, at a distance of 10 feet, therefore,
tan (20°) * (10 + x) = 4
⇒
x =4/tan (20°)-10
x= 4/(10.989909678 - 10)
x = 0.9899
x ≈ 1 feet.
Hence the camera must be moved back about 1 feet to capture Geroge..
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