[SPLIT, MOVED] related rates: sliding ladder  TOPIC_SOLVED

Limits, differentiation, related rates, integration, trig integrals, etc.

[SPLIT, MOVED] related rates: sliding ladder

Postby marifel on Thu Oct 11, 2012 2:25 pm

I have a related rates problem in calculus. Anyone who could help solve this one..

Problem: A ladder 15 feet long leans against a vertical wall. If the top slides down at 2 ft/sec, how
fast is the angle of elevation of the ladder decreasing when lower end is 12 feet from the wall..

Thank you...so blessed to have been here..
marifel
 
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Re: [SPLIT, MOVED] related rates: sliding ladder  TOPIC_SOLVED

Postby nona.m.nona on Thu Oct 11, 2012 10:25 pm

marifel wrote:Problem: A ladder 15 feet long leans against a vertical wall. If the top slides down at 2 ft/sec, how
fast is the angle of elevation of the ladder decreasing when lower end is 12 feet from the wall..

Draw the right triangle. Label the hypotenuse as "15". Use the Pythagorean Theorem to find the length of the other leg (along the wall) when the one leg (along the ground) is 12.

Set up the equation using the Theorem. Differentiate with respect to time t. Plug in the known values, and solve for the requested information.

If you get stuck, please reply showing all of your efforts thus far. Thank you.
nona.m.nona
 
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