Question

The owner of a van installs a rear-window lens that has a focal length of -0.304 m. When the owner looks out through the lens at a person standing directly behind the van, the person appears to be just 0.237 m from the back of the van, and appears to be 0.343 m tall. (a) How far from the van is the person actually standing

Answer 1

`p =-1.03`

Step-by-step explanation:

From the question we are told that:

Focal length of lens
`f=-0.304 m`

Image distance
`q=0.237 m`

Height of image
`H_i=0.343`

Generally the lens equation is mathematically given by

`(1)/(f) = (1)/(q) - (1)/(p)`

Where
`p` is Subject

`p = ((qf) )/((f - q))`

`p = ((-0.237)(-0.304)) )/(((-0.304) - (0.237)))`

`p =-1.03`

Therefore the distance between the person and the car is

`p =-1.03`