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 Ų = x/10

x = 10cosŲ

dx/dŲ = -10sinŲ

so when Ų=π/3

dx/dŲ = -10sin π/3

= -10 (√3/2)

- calculus -
**daniel**, Wednesday, September 28, 2011 at 1:28am
SinŲ = opp/hyp

opp is x

hyp is 10

SinŲ = x/10

10SinŲ = x

Sin (π/3) = 1/2

10 * 1/2 = 5

Answer: 5 ft/rad

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