Solve Mirror Equation for Unknown Image Distance & Focal Length

[zoop-loop]

Homework Statement

An ant is 1.03 cm tall and stands 4.90 cm in front of an unknown mirror. To its surprise the ant sees an its image which is 4.43 cm tall! What is the the distance to the image? What is the focal length of the mirror?

Homework Equations

The mirror equation: 1/p + 1/q = 1/f

p: object distance
q: image distance
f: focal length

Maybe the magnification equation?: M = -q/p = h'/h

q: image distance
p: object distance
h': image height
h: object height

The Attempt at a Solution

I set the problem up this way:

1/4.90 + 1/q = 1/f

I have no idea how to figure it out beyond this point.

Please help!

 

[BvU]

Try to use the magnification equation... it links p and q.