can someone PLEASE help me wit this problem? i will be ETERNALLY GRATEFUL. THANK YOU!!.(adsbygoogle = window.adsbygoogle || []).push({});

A light is suspended at a height "h" above the floor. The illumination at the point P is inversely proportional to the square of the distance from the point P to the light ("r") and directly proportional to the cosine of the angle theta. How far from the floor should the light be to maximize the illumination at the point P?

light

|\ o=theta

|o \

| \

h| \ r

| \

| \

|__10M__\

floor P

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Tricky Optimization Problem

**Physics Forums | Science Articles, Homework Help, Discussion**