A stone was dropped off a cliff and hit the ground with aspeed of 120 fts. What is the height of the cliff?

Q: A beacon that makes one revolution every 13 seconds is located on a ship anchored 4 kilometers from…

A: Given that a beacon that makes one revolution every 13 seconds is located on a ship anchored 4…

Q: A 20-foot-tall tree has fallen against the wall of a garage. The base of the tree starts to slide on…

A:

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

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Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

A:

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: Follow the procedure given below.

Q: Find the velocity v of an ocean freighter that is traveling 30° south of east at 30 km/hr.

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Q: A ladder that is 3 meters long is leaning against a wall. The base of the ladder slides away from…

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Q: A kite 30 m above the ground moves horizontally at a speed of 10 m/min. At what rate is the angle…

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Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

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Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude…

A:

Q: When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per…

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A:

Q: A street light is mounted at the top of a 15 foot tall pole. A man 6 feet tall walks away from the…

A:

Q: A beacon that makes one revolution every 7 seconds is located on a ship anchored 2 kilometers from a…

A: Find your answer below

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

A:

Q: A small rocket is launched straight up in the air at a speed of 4ft/sec. A camera on the ground, 10…

A: Consider the given information. At any time t, rocket is at C tanθ=ACAB=AC10

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

A: Given a kite 65 feet above the ground moves horizontally at a speed of 6 ft/s.

Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

A:

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

A: Given that a ladder 10 ft. long leans against a vertical wall. Bottom of the ladder slides away from…

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

A:

Q: A man 6 ft tall walks at a rate of 4 ft/sec away from a lamppost that is 16 ft high.  At what rate…

A: Let x be the distance of the man from the lamppost and y be the length of the shadow as shown in the…

Q: How far will an aircraft travel in 7 minutes, 12 seconds with a groundspeed of 125 knots?

A: The length of a path between two points is called distance.

Q: A 15-meter ladder is resting against a vertical wall, If the bottom of the ladder is being pushed…

A: Let ladder AB, l=15 m, Ladder is pushed horizontally at the rate of 1.5 m/s, ⇒dydt=1.5 We need to…

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

A:

Q: What is the velocity of an object falling from 6m high cliff?

A:

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: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

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Q: woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is…

A: SOLUTION-

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

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

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -110 feet per…

A:

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

A: This question is related to calculus .solved in step 2.

Q: The figure below shows a camera mounted at a point 3000 ft from the base of a rocket launching pad.…

A: Suppose, we name the sides as shown:

Q: Find the rate of change of the angle when a wire of 250 dx feet is attached.

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Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A:

Q: A ladder 15 ft. long leans against a vertical wall. If the top slides down at 2 ft/sec, how fast is…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate is the angle…

A: Here we use trigonometric formulas along with differentiation formulas.

Q: A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle…

A: The diagrammatic representation of the problem is shown below.

Q: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at…

A: Form the situation on a right triangle and use trigonometric ratio than differentiate.

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…

A:

Q: A beacon that makes one revolution every 11 seconds is located on a ship anchored 2 kilometers from…

A: Concept of angular motion is to be used here.

Q: A ladder 10 ft long leans against a vertical wall. If the bottomof the ladder slides away from the…

A: Given - A ladder 10 ft. long leans against a vertical wall. If the bottom of the ladder slides away…

Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air…

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes.

Q: A street light is at the top of a 15.0 ft. tall pole. A man 5.8 ft tall walks away from the pole…

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -105 feet per…

A: Given,           A stone is dropped from the edge of a roof, and hits the ground with            a…

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

A: given data  constant speed = 24 km/min             altitude = 12 km             angle = 25 degrees…

Q: A man 6 ft tall walks at a rate of 2 ft/sec away from a lamppost that is 17 ft high. At what rate is…

A:

Q: a television camera is positioned o the ground 4000 feet from the base of a rocket launching pad. If…

A:

Q: A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude…

A:

Q: A hot air balloon is tethered at an angle of elevation of a/6. The rope holding the balloon is being…

A: Given Data: The angle of elevation is: α=π6 The rate at which the rope is being brought is: dxdt=-4…