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Can someone please explain how to set this word problem up. Thank you.

The foot of a 5-meter ladder leaning against a tall wall is being pulled away from the wall at the rate of 2m/s. At what rate is the ladder rotating when its foot is (a) 3 meters from the wall?

2007-04-09 19:02:43 · 2 answers · asked by compstuft 2 in Science & Mathematics Mathematics

2 answers

cosθ = x/5
-sinθdθ = dx/5
ω = dθ/dt = (1/5sinθ)dx/dt
sinθ = (1/5)√(25 - x^2)
ω = (1/√(25 - x^2))dx/dt
ω = 2/√(25 - 3^2)
ω = 2/√(25 - 9)
ω = 2/√16
ω = 2/4
ω = 1/2 rad/s

2007-04-09 19:47:17 · answer #1 · answered by Helmut 7 · 1 0

soory i dont know

2007-04-10 02:06:07 · answer #2 · answered by muhajirin k 2 · 0 0

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