at what distance would a convex magnifing lens that has a focal length of 10 cm have to be held for an image to appear upright and 3 cm tall?

[6.67cm]

1 answer

!!! The last words in given data have to be
“and 3 times as tall”
If so, then:
f = focal length of lens = 10cm
di = image distance from lens
do= object distance M =3 - magnification

Note that for the image to be upright it must be a virtual image, so di is negative.

di/do = -3
so di = -3do

1/10 = 1/do + 1/di
1/10 = 1/do - 1/(3•do) = 2/3•do

3•do = 20

do = 6.67cm