Monday

March 2, 2015

March 2, 2015

Posted by **Anonymous** on Friday, November 16, 2012 at 1:20pm.

- Calculus -
**Steve**, Friday, November 16, 2012 at 2:51pmif the distance from wall is x,

x^2 + h^2 = 144

x = √(144-h^2)

when h=9, x = √(144-81) = √63

sinθ = h/12

the wording of the question is odd. Usually they ask for the rate of change of x when h=9. In that case,

2x dx/dt + 2h dh/dt = 0

but we don't have dh/dt.

So, it appears they want dh/dθ

h/12 = sinθ

h = 12sinθ

dh/dθ = 12cosθ = 12(x/12) = x = √63

however, rather than asking for "the rate of change of h with respect to θ" you say they want "rate of change of h with respect to the change of θ". Don't know how to interpret that

**Answer this Question**

**Related Questions**

maths - a 4m ladder is leaning against a wall when its base starts to slide ...

CALCULUS - A 25 ft ladder is leaning against a vertical wall. At what rate (with...

Calculus - 1a. 15 ft ladder is placed against a vertical wall. the bottom of the...

Calculus Ladder Problem - A ladder 20 ft long rests against a vertical wall. Let...

Calculus - A 13 foot ladder is leaning against the house when it's base starts ...

Calculus - related rates: a ladder, 12 feet long, is leaning against a wall. if ...

calculus - A 13 ft ladder is leaning against a house when its base begins to ...

calculus - A ladder 14 ft long rests against a vertical wall. Let \theta be the ...

Calculus - A 40-foot ladder is leaning against a house when its base starts to ...

math - A ladder 14 ft long rests against a vertical wall. Let \theta be the ...