Posted by Sasha on Thursday, October 7, 2010 at 2:47am.
A ladder 10 ft long rests against a vertical wall. let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π/3

calculus  Reiny, Thursday, October 7, 2010 at 8:06am
According to you diagram I have
cos Ø = x/10
x = 10cosØ
dx/dØ = 10sinØ
so when Ø=π/3
dx/dØ = 10sin π/3
= 10 (√3/2)

calculus  daniel, Wednesday, September 28, 2011 at 1:28am
SinØ = opp/hyp
opp is x
hyp is 10
SinØ = x/10
10SinØ = x
Sin (π/3) = 1/2
10 * 1/2 = 5
Answer: 5 ft/rad
Answer This Question
Related Questions
 math  A ladder 10 ft long rests against a vertical wall. let θ be the ...
 Calculus Ladder Problem  A ladder 20 ft long rests against a vertical wall. Let...
 calculus  A ladder 14 ft long rests against a vertical wall. Let \theta be the ...
 math  A ladder 14 ft long rests against a vertical wall. Let \theta be the ...
 Math  A ladder 20 ft long rests against a vertical wall. Let \theta be the ...
 Math  A ladder 20 ft long rests against a vertical wall. Let \theta be the ...
 Calculus 1  Related Rates: A ladder 10 ft long rests against a vertical wall. ...
 Calculus  A ladder 13 ft long rests against a vertical wall. If the bottom of ...
 Calculus 1  A ladder 10ft long rests against a vertical wall. If the bottom on ...
 Calculus  A ladder 10 ft long rests against a vertical wall. If the bottom on ...
More Related Questions