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Esperanza uses a 35-mm camera with a standard lens of focal length 50.0 mm to take a photo of her son Carlos,?

Esperanza uses a 35-mm camera with a standard lens of focal length 50.0 mm to take a photo of her son Carlos, who is 1.2 m tall and standing 3.0 m away.
(a) What must be the distance between the lens and the film to get a properly focused picture?
mm
(b) What is the magnification of the image?

(c) What is the height of the image of Carlos on the film?
mm

a) This part they are asking for the image distance. Use the thin lens equation to find the image distance.

1/p + 1/q = 1/f

p=the distance from Carlos to the camera = 3000mm
f=focal length = 50mm

1/3000 + 1/q = 1/50

q = 50.847mm

b) magnification = -image distance (q) / object distance (p)
= -50.847/3000
= -.0169 X
c) the height of Carlos on the film is his height multiplied by the magnification.

= 1200mm * .0169
= 20.28mm

I hope this helps

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