Related Rates: Problem Solving
Direction: Solve each word problem involving a related rates. Make a sketch of your work
if necessary, and then apply differentiation.
A ladder 20 feet long is leaning against an embankment inclined 60 degrees to the
horizontal. If the bottom of the ladder is being moved horizontally toward the
embankment at 1 foot per second, how fast is the top of the ladder moving when
the bottom is 4 feet from the embankment?
PLEASE ANSWER MY QUESTION QUICKLY!!
DEADLINE : 05/03/2022 11: 00 PM
2x dx/dt=-2y dy/dt
when x=4
At 4 m from the base the ladder is going towards the wall at v[x] i = 1 i m/s and is climbing up the the wall at v[y] j = [ ( sq rt 6/12] j m/s
The resultant velocity is given by
and it makes an angle
Comments