A spotlight on the ground shines- Related rates

[wind]

Hi can someone check over my work? The answer in the text is different form mine. Thanks
A spotlight on the ground shines on a wall 41m away. If a dog, 0.5m tall, runs from teh spotlight toward the building at a speed of 1m/s, how fast is the height of the animal's shadow on teh building drecrsing when the dog is 5m from the building

h/0.5= 14/14-x
h= 7 / 14 - x

(dh/dx)(dx/dt)= dh/dt
7 / (14 -x)^2 • 1 = dh/dt
0.00864 = dh/dt

 

[galactus]

This problem is very much like the other problem you posted.

You have a typo in your post. It's 14, not 41?.

I get \(\displaystyle \frac{-7}{1296}\approx{-0.0054} \;\ m/sec\)

May have erred, though. Check. Seems rather small.