Question

A photographer is taking a picture of a three foot tall painting hung in an art gallery. The camera lens is 1 foot below the lower edge of the painting (see figure). The angle B subtended by the camera lens x feet from the painting is shown in the figure below. 1. Find B as a function of x. What is the practical domain of B? 2. Graph the function ß using a graphing calculator 3. Find the maximum value of B. 4. Identify the asymptote of the graph and describe its meaning in the context of the problem.