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>
Answer:
1044 sq. inches
Step-by-step explanation:
The frame adds 2 inches on each side of the window, so the width becomes 29 in. and the length becomes 36 in.
Area = width × length
So the total area of the window and the frame is:
A = 29 × 36 = 1044 in²
