- #1
physics604
- 92
- 2
1. 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=[itex]\frac{∏}{3}[/itex]?
The derivative rules.
Using trig, I know the base of the triangle = 10sinθ)^2.
Using the Pythagorean Theorem, I get the equation
x^2=100-100sin^2θ
x=√100(1-sin^2θ)
What is my next step?
bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ=[itex]\frac{∏}{3}[/itex]?
Homework Equations
The derivative rules.
The Attempt at a Solution
Using trig, I know the base of the triangle = 10sinθ)^2.
Using the Pythagorean Theorem, I get the equation
x^2=100-100sin^2θ
x=√100(1-sin^2θ)
What is my next step?