You are trying to photograph a bird sitting on a tree branch, but a tall hedge i

Question

You are trying to photograph a bird sitting on a tree branch, but a tall hedge is blocking your view. However, as the drawing shows, a plane mirror reflects light from the bird into your camera. If x = 4.3 m and y = 4.4 m in the drawing. For what distance must you set the focus of the camera lens in order to snap a sharp picture of the bird's image?
m

You are trying to photograph a bird sitting on a tree branch, but a tall hedge is blocking your view. However, as the drawing shows, a plane mirror reflects light from the bird into your camera. If x = 4.3 m and y = 4.4 m in the drawing. For what distance must you set the focus of the camera lens in order to snap a sharp picture of the bird's image?

Explanation / Answer

The total horizontal distance the light travels is

xtot = 4.3 + 2.1 m = 6.4 m
ytot = 4.4 m

Thus, the distance you must focus is

d = sqrt(ytot^2 + xtot^2)

d = 7.77 m   [ANSWER]

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