Given the following information: convex mirror, focal length (f) = 12.5 metres, height object (ho) = 5 metres, height image (hi) = 1 metre. Find distance object (do) and distance image (di).
2. Relevant equations
1/f = 1/do + 1/di
Magnification= -hi/ho = di/do
3. The attempt at a solution
I found that the magnification is -0.2.
Rearranging the magnification equation I found that di=-0.2do
My intention was to substitute one of the two into 1/f = 1/do + 1/di
I tried to make the denominators equal after substituting in di=-0.2do however my answer was incorrect.
Correct answers are do = 50 metres, di = -10 metres
I don’t understand how to mathematically solve this problem. Any help would be greatfully appreciated.