Answer:
The tip of the man shadow moves at the rate of 
Step-by-step explanation:
Let's draw a figure that describes the given situation.
Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.
Here it forms two similar triangles.
Let's find the distance "y" using proportion.
From the figure, we can form a proportion.

Cross multiplying, we get
15(y -x) = 6y
15y - 15x = 6y
15y - 6y = 15x
9y = 15x
y = 
We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).
----(1)
We are given
. Plug in the equation (1), we get

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.
Step-by-step explanation:
2 (x-3)-4 (x+3)
Solve for "y" and you get y=3x/2-2 and the equation for a line is y= mx+b, I mean the slope is the number which companion the "x" in the line equation, so the slope in your problem is 3/2
Hope this makes more sense it’s all in the photo! ❤️