Question

14. A painting in an art gallery has height 2 m, and is hung so that its lower edge is 1 m above the eye of an observer. How far from the wall should the observer stand to get the best view, that is, so as to have the largest viewing angle? (Answer : root3 meters)

Answer 1

This is what I think the diagram looks like

Answer 2

I wrote : sin(angle) = opp/adj which is equal to 3m/x

And then I got lost :P

Answer 3

I then took the derivative of that which took me nowhere =/