Refraction, how tall is the image?

[Quantum Joe]

Homework Statement

If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, and the object is 0.50 m tall, how tall is the image.

H_o = 0.5
S_o = 2.0
S_i = 8.0

Homework Equations

H_o / H_i = S_o / -S_i
In order these variables are hight object, hight image, object distance and object image.

The Attempt at a Solution

0.5/ H_i = 2.0/8.0

This is where the problem occurs. How do I get H_i on one side of the equation?

I don't know how to move the numerator to the other side of the equation... Please help... I think there is a very simple solution but, it is eluding me.

 

[Delphi51]

Where did the minus sign go?
Cross multiply to eliminate all fractions:
0.5*8.0 = 2.0*Hi

 

[nlightner]

Hi = (0.5 * -Si) / So

Hi = (0.5 * -8.0) / 2.0

Hi = -4.0 / 2.0

Hi = -2.0

The image would be 2.0 meters tall. However, this solution does not make sense in the context of refraction. Refraction typically refers to the bending of light as it passes through different mediums. In this case, it is not clear what medium the light is passing through and how it is being refracted. Additionally, the given information does not specify the type of lens being used, which would affect the calculation of the image height. It is important to have all necessary information and to understand the context of the problem before attempting a solution.