Need some help on this one problem.
A winch at the top of a 12 meter building pulls a pipe of the same length to a vertical position, as shown in figure 29. The winch pulls in rope at a rate of -0.2 meters per second. Find the rate of vertical change and the rate of horizontal change at the end of the pipe when y = 6.
Here's a picture
http://i33.tinypic.com/n2xut2.jpg
I got root21/30 for dy/dt and -root7/30 for dx/dt.
Is this correct? I didn't feel like using law of cosines, so I dropped two perpendiculars, one to the building and one to the floor. I got that for when y = 6, s = root84 and x is root108. Can anyone confirm for me?
I found some answers online that say dy/dt is 1/5 and dx/dt -root3 / 15
A winch at the top of a 12 meter building pulls a pipe of the same length to a vertical position, as shown in figure 29. The winch pulls in rope at a rate of -0.2 meters per second. Find the rate of vertical change and the rate of horizontal change at the end of the pipe when y = 6.
Here's a picture
http://i33.tinypic.com/n2xut2.jpg
I got root21/30 for dy/dt and -root7/30 for dx/dt.
Is this correct? I didn't feel like using law of cosines, so I dropped two perpendiculars, one to the building and one to the floor. I got that for when y = 6, s = root84 and x is root108. Can anyone confirm for me?
I found some answers online that say dy/dt is 1/5 and dx/dt -root3 / 15