The formula for illuminance is given by E = I / d^2 This formula only holds true for one-dimensional illuminance The problem asks for the illuminance across the floor. We need to use two variables, x and y. From Pythagorean Theorem d^2 = x^2 + y^2 and from Trigonometry x = d cos t y = d sin t
The function for the illuminance can be represented by the composite function E = I cos² t / x² and E = I sin² t / y²
The boundary of these functions is: <span>0 < t < 8 So, the value of t must be in radians and not in degrees</span>
