Question
A tourist takes a picture of a mountain 14 km away using a camera that has a lens with a focal length of 50 mm. She then takes a second picture when she is only 5.0 km away. What is the ratio of the height of the mountain’s image on the camera’s image sensor for the second picture to its height on the image sensor for the first picture?
Step 1
Step 1: We start with the lens equation, which is given by: \[ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \] where \(f\) is the focal length, \(d_o\) is the object distance, and \(d_i\) is the image distance. Show more…
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A tourist takes a picture of a mountain $14 \mathrm{~km}$ away using a camera that has a lens with a focal length of $50 \mathrm{~mm}$. She then takes a second picture when she is only $5.0 \mathrm{~km}$ away. What is the ratio of the height of the mountain's image on the camera's image sensor for the second picture to its height on the image sensor for the first picture?
A tourist takes a picture of a mountain $14 \mathrm{~km}$ away using a camera that has a lens with a focal length of $50 \mathrm{~mm}$. She then takes a second picture when she is only $5.0 \mathrm{~km}$ away. What is the ratio of the height of the mountain's image on the film for the second picture to its height on the film for the first picture?
Suppose a 200 $\mathrm{mm}$ focal length telephoto lens is being used to photograph mountains 10.0 $\mathrm{km}$ away. (a) Where is the image? (b) What is the height of the image of a 1000 $\mathrm{m}$ high cliff on one of the mountains?
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