Light and Optics: Shoplifter's Distance and Height

[Taylor Marks]

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

 

[Aceix]

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