A ladder 20 feet long is leaning against an embankment inclined 60 degrees to the horizontal. if the bottom of the ladder is being moved horizontally toward an embankment at 1ft/sec, how fast is the top of the ladder moving when the bottom is 4 ft. from the embankment?

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A: Let's understand what's going on:

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A: Find the rate of the top of ladder sliding down.

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Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is…

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Q: A light is hung 15 ft above a straight horizontal path. if a man 6 ft tall is walking away from the…

A: Solution :x=distance from lights=length of shadowlet,height of light,D=15 ftheight of…

Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away fromher at a…

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Q: On our moon, the acceleration of gravity is 1.6 m/sec2. If a rock is dropped into a crevasse, how…

A: It is given that the acceleration of the gravity is 1.6m/sec2.

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: An 8 ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A:

Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: →cosθ = BaseHypotenuse→sinθ = 1-cos2θ→dcosθdθ = -sinθ

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: A person stands at the end of a pier 8 ft above the water and pulls in a rope attached to a buoy. If…

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Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a…

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Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: According to the given condition we haveIn this diagram, we have BC is the distance from the women…

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A: a rough sketch of the problem will be as follows:

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

A: We have to find how fast is the water level rising when the water is 6 inches deep.

Q: A 10-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A: Solution..

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: A ladder with 10 ft resting on a wall is shown in below figure.

Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at…

A: Given A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from…

Q: An 8 ft. ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

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Q: A ladder 7 m long is leaning against a wall. If the bottom of the ladder is pushed horizontally…

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Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. If a rock is dropped into a crevasse,…

A: Consider the given value of acceleration due to gravity 1.6 m/sec2.

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Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: A 50 ft ladder is placed against a wall, as shown below. The base of the ladder is slipping away…

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A: From the given information, draw a picture.

Q: A street light is at the top of a 29 ft pole. A 4 ft tall girl walks along a straight path away from…

A: Draw a diagram that illustrates the given information Let x be the distance to the girl from the…

Q: A 20 foot ladder leans against a vertical wall. If the base of the ladder is pulled away from the…

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Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: Given data:   The length of the trough is L=12 ft. The side of the isosceles triangle is b=2 ft. The…

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

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Q: A trough is 14 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

A: Given that: A trough is 14 feet long and its ends have the shape of isosceles triangles that are 4…

Q: A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 50 ft before…

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Q: A ladder 20 ft long is leaning against an embankment inclined 60° to the horizontal. If the bottom…

A: Let x= distance of ladder from the embankment, y= vertical height. Given: dxdt=-1 ft/sec To find:…

Q: A ladder 9 ft long rests agains a vertical wall. If the bottom of the ladder slides away from the…

A: Let the distance between base B of the wall and bottom of the ladder C, BC= x feet  And the angle…

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

A: Let V be the volume of the water inside the trough and h be the height of the water inside the…

Q: A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Assume length of ladder be l height be h base be b Given l=13 ft b=5ft dbdt=2ft/sec

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: