Trig help

GMCBoii

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May 16, 2020
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A 6m ladder is leaning against a wall and begins to slide. The foot of the ladder slides outward at a rate of 0.2m/s. At what rate is the angle between the ladder and the wall changing when the top is 3m from the ground?

Which one do I use to solve x=3tanθ or x=6sinθ and why?
 
A 6m ladder is leaning against a wall and begins to slide. The foot of the ladder slides outward at a rate of 0.2m/s. At what rate is the angle between the ladder and the wall changing when the top is 3m from the ground?

Which one do I use to solve x=3tanθ or x=6sinθ and why?
Did you draw a figure for the problem?

What is Θ?
 
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A 6m ladder is leaning against a wall and begins to slide. The foot of the ladder slides outward at a rate of 0.2m/s. At what rate is the angle between the ladder and the wall changing when the top is 3m from the ground?

Which one do I use to solve x=3tanθ or x=6sinθ and why?
Your drawing looks good. Now, in choosing the equation to differentiate, you want one that is true throughout the motion, not just at the moment asked about, so that differentiating it makes sense. Which number, 3 or 6, is a true constant in the problem?
 
Your drawing looks good. Now, in choosing the equation to differentiate, you want one that is true throughout the motion, not just at the moment asked about, so that differentiating it makes sense. Which number, 3 or 6, is a true constant in the problem?
6m of the ladder is the constant so its x=6sintheta that I use then?
 
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