A certain spherical street lamp emits light in all directions. It is mounted on a pole of height h (see Figure P23). The brightness B at point P on the sidewalk is directly proportional to sin + and inversely proportional to the square of the distance d from the light to the point. Thus where c is a constant. Use MuPAD to determine how high h should be to maximize the brightness at point P, which is 30 ft from the base of the pole.

Figure P23

Transcribed Image Text:

Light d h 30 ft P.