Lori C. answered • 01/13/18
Tutor
5.0
(21)
Algebra, Trigonometry and Calculus
The setup will look something like this:
light


 20 ft 
 7 ft
___________________________
x L
The picture will look something like this. You will have to imagine the hypotenuse going from the light to the ground.
We have similar triangles. So
20 = 7
x + L L
Cross multiplying gives 20L = 7(x +L)
Now what? Hint: You have been studying ??? Derivatives? So take the derivative. Do you suppose you need implicit differentiation? You will need two different RATES that are RELATED by some equation containing them both.
The question is  how fast is L changing.