Answer:
8.8ft/s
Step-by-step explanation:
Height of pole=11 foot
Height of man=6 foot
Let x be the distance of man from the pole and y be the distance of tip of shadow from the base of the pole.
![\frac{dx}{dt}=4 ft/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D4%20ft%2Fs)
Two right triangles are similar then the ratio of their corresponding sides are equal
![\frac{6}{11}=\frac{y-x}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B11%7D%3D%5Cfrac%7By-x%7D%7By%7D)
![6y=11y-11x](https://tex.z-dn.net/?f=6y%3D11y-11x)
![11x=11y-6y=5y](https://tex.z-dn.net/?f=11x%3D11y-6y%3D5y)
Differentiate w.r.t t
![11\frac{dx}{dt}=5\frac{dy}{dt}](https://tex.z-dn.net/?f=11%5Cfrac%7Bdx%7D%7Bdt%7D%3D5%5Cfrac%7Bdy%7D%7Bdt%7D)
![11\times 4=5\frac{dy}{dt}](https://tex.z-dn.net/?f=11%5Ctimes%204%3D5%5Cfrac%7Bdy%7D%7Bdt%7D)
![\frac{dy}{dt}=\frac{11\times 4}{5}=8.8ft/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D%5Cfrac%7B11%5Ctimes%204%7D%7B5%7D%3D8.8ft%2Fs)
Hence, the tip of her shadow is moving at the rate 8.8ft/s when she is 45 feet from the base of the pole
Answer:
3.62
Step-by-step explanation:
39.37-35.75=3.62
Answer:
That would be (2,3)
Step-by-step explanation:
When we're moving left in the coordinate plane, we are subtracting the x-coordinate by how much distance we move.
In this case, 7-5=2, so the new x-coordinate is 2, but the y-coordinate doesn't change since we're going horizontally and not vertically.
Answer:
use desmos quick
Step-by-step explanation: