Light and Optics: Shoplifter's Distance and Height

AI Thread Summary
The discussion revolves around calculating the distance of a shoplifter from a convex mirror and his actual height based on given parameters. The image distance is noted as 22.0 cm behind the mirror, and the focal length is 24.0 cm. Using the mirror formula, the distance of the shoplifter from the mirror is determined to be 2.64 m. The magnification equation relates the apparent height of 14.0 cm to the actual height, which can be calculated using the derived distance. The key focus is on applying optics equations to solve for the shoplifter's distance and height accurately.
Taylor Marks
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Homework Statement


A shoplifter is spotted using a convex mirror, in which the image appears to be 22.0cm behind the mirror, which has a focal length of 24.0cm. HIs apparent height, in this image, is 14.0cm tall.
A)How far away is the shoplifter from the mirror?
B) How tall is the shoplifter?

Homework Equations


M=hi/ho
1/do + 1/di = 1/f
M= -di/do

The Attempt at a Solution


A) 1/22 + 1/do =1/24
do=2.64 m
 
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Taylor Mdi/ s said:

Homework Statement


A shoplifter is spotted using a convex mirror, in which the image appears to be 22.0cm behind the mirror, which has a focal length of 24.0cm. HIs apparent height, in this image, is 14.0cm tall.
A)How far away is the shoplifter from the mirror?
B) How tall is the shoplifter?

Homework Equations


M=hi/ho
1/do + 1/di = 1/f
M= -di/do

The Attempt at a Solution


A) 1/22 + 1/do =1/24
do=2.64 m
Remember that M=di/do=hi/ho
 
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