Question

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.

(a) What is the velocity of the top of the ladder when the base
is given below?

7 feet away from the wall

ft/sec

15 feet away from the wall

ft/sec

20 feet away from the wall

ft/sec

(b) Consider the triangle formed by the side of the house, ladder,
and the ground. Find the rate at which the area of the triangle is
changing when the base of the ladder is 15 feet from the
wall.

ft^{2}/sec

(c) Find the rate at which the angle between the ladder and the
wall of the house is changing when the base of the ladder is 15
feet from the wall.

rad/sec

Answer #1

A ladder 25 feet long is leaning against the wall of a house.
The base of the ladder is pulled away from the wall at a rate of 2
feet per second.
How fast is the top of the ladder moving down the wall when the
base is 15 feet from the wall?
Consider the triangle formed by the side of the house, the
ladder, and the ground. Find the rate at which the area of the
triangle is changing...

A
13-foot ladder is leaning against a house when its base begins to
slide away. By the time the base is 12 feet from the building the
base is moving at 5ft/sec.
a) at what rate is the area of the traingle formed by the
ladder changing then?
b) at what rate is the angle theta between the ladder and the
ground changing then

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When the firefighter has climbed up 6 feet of the ladder, the
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A 26 foot ladder is
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At what rate is the ladder sliding away from the wall when the
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Would you expect the same rate when
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Would you expect
your answer to be positive when the base is any...

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Round your answer to three decimal places.

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