Suppose you and five friends are sitting in a circle on level ground an
unknown distance from a fairly tall building with a gargoyle on the roof. From where
you are sitting, the angle of elevation to the top of the gargoyle is 27◦. Your two friends
Betty and Chris walk 35 meters closer to the building, and the angle of elevation from
there to the top of the gargoyle is 37◦. Then Chris walks another 35 meters closer to
the building. What is the angle of elevation to the top of the gargoyle from the point
where Chris stopped?