Question

A sign 3 feet high is placed on a wall with its base 2 feet above the eye level of a woman attempting
to read it. How far from the wall should she stand to get the best view of the sign, that is, so that the
angle subtended at the woman’s eye by the sign is a maximum?

Answer 1

Hint: there is a right triangle with one side of 3 feet + 2 feet. If the woman moves away from the sign, distance of the bottom of the right triangle changes. Angle of the side of 3 feet + 2 feet changes as well.

Answer 2

correction: angle opposite of the side of 3 feet + 2 feet changes as well.