Question

17-foot ladder leans against a wall. The base of the ladder is 11 feet away from the wall. You push the ladder towards the wall at a rate of 1.5 ft/s. How fast is the angle between the ladder and the floorchanging after 2 seconds?

Answer #1

A 15 foot ladder is resting against the wall. The bottom is
initially 10 feet away from the wall and is being pushed towards
the wall at a rate of 1/4 /s. How fast is the top of the ladder
moving up the wall 12 seconds after we start pushing?

A 18 ft ladder leans against a wall. The bottom of the ladder
slides away from the wall at a rate of 3ft/sec
How fast is ladder sliding down the wall when the base of the
ladder is 10 ft away from the wall?
ft/sec.
Round your answer to three decimal places.

A ladder 20 feet long leans against a wall and the foot of the
ladder is sliding away at a constant rate of 3 feet/sec. Meanwhile,
a firefighter is climbing up the ladder at a rate of 2 feet/sec.
When the firefighter has climbed up 6 feet of the ladder, the
ladder makes an angle of π/3 with the ground. Answer the
two related rates questions below. (Hint: Use two carefully labeled
similar right triangles.)
(a) If h is the...

A) A ladder 25 feet long is leaning against a wall. If the foot
of the ladder is pulled away from the wall at the rate of 2 feet
per second, how fast will the top of the ladder be dropping when
the base is 7 feet from the wall?
B) A radar antenna, making one revolution every 3 seconds (one
revoluton is 2π radian), is located on a ship that is 5 km from a
straight shoreline. How fast...

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...

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...

The base of a 28 foot ladder moves away from a vertical wall at
a constant rate of 1.2 feet per second. If the top maintains
contact with the wall, determine how fast the top of the ladder is
moving when the base is 5 feet from the wall

A 2525-foot ladder is placed against a vertical wall. Suppose
the bottom of the ladder slides away from the wall at a constant
rate of 2 feet per second. How fast is the top of the ladder
sliding down the wall when the bottom is 20 feet from the
wall?
The ladder is sliding down the wall at a rate of __ ft/sec

4. A 17 ft long ladder is leaning against a vertical wall. A
winch on the top of the building is lowering the top of the ladder
making the base of the ladder slide away from the building (yes,
not a very good ladder for it to slip like this). The winch is
lowering the top of the ladder at a rate of 1.5 ft/s. How fast is
the angle between the ladder and the ground changing when the top...

A 11-foot ladder is leaning against a building, with the base
of the ladder 5 feet from the building. How high up on the building
will the top of the ladder reach? The ladder will reach ft high up
on the building. Simplify you answer. Type an exact answer, using
radicals as needed. The ladder will reach ft high up on the
building. Round to the nearest tenth.

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