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

Answer:

$p =-1.03$

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

$\frac{1}{f} = \frac{1}{q} - \frac{1}{p}$

Where $p$ is Subject

$p = \frac{(qf) }{(f - q)}$

$p = \frac{(-0.237)(-0.304)) }{((-0.304) - (0.237))}$

$p =-1.03$

Therefore the distance between  the person and the car is

$p =-1.03$