math
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
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The rate at which x changes with respect to θ is zero when θ = π/3. This is because when θ is at π/3, the bottom of the ladder is held stationary against the wall and thus x is not changing.
