To completely fill a frame of 35-mm film the image produced by a camera must be

Question

To completely fill a frame of 35-mm film the image produced by a camera must be 36 mm high
Q1 If the camera has a focal lenght of 150mm how far away must a 1.7 m tall person stan to produce an image that fills the frame? d0= m *express answer using two significant figures To completely fill a frame of 35-mm film the image produced by a camera must be 36 mm high
Q1 If the camera has a focal lenght of 150mm how far away must a 1.7 m tall person stan to produce an image that fills the frame? d0= m *express answer using two significant figures
Q1 If the camera has a focal lenght of 150mm how far away must a 1.7 m tall person stan to produce an image that fills the frame? d0= m *express answer using two significant figures

Explanation / Answer

given

the height of the image is hi = 36 mm = 0.036 m

height of the object is ho = 1.7 m

magnification is M = hi / ho

M = 0.036 / 1.7

M = 0.0211

but we have m = di / d0

di = m d0

focal length is f = 150 mm = 0.15 m

1 / f = 1 / v - 1 / d0

1 / 0.15 = 1 / 0.0211 d0 - 1 / d0

1 / 0.15 = 46.39 / d0

d0 = 46.39 X 0.15

d0 = 6.959 m

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