2. A boy is flying a kite at a height of 50 meters. The kite is moving horizontally away from the boy, find the rate of the kite moving when the angle of elevation of the kite is 50° and changing at a rate of 1.25rad/sec.

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Length of ladder is l= 10ft X=8 ft, dx/dt= 18ft/sec From the fig l =[ x2 + y2 ]0.5= 10 a) from…

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

A: Given, A ladder 10 ft long rests against a vertical wall. Let x be the distance between the bottom…

Q: A balloon released at point P rises vertically with a constant speed of 6 m/s. Point Q is level with…

A:

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: .

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

A:

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: A plane flies at a speed 540 km/hr at a constant height of 10 km. How rapidly is the angle of…

A:

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

A:

Q: 6. A picture 40 cm high is placed on a wall with its based 30 cm above the level of the eye of an…

A: LETS THE PICTURE THE PROBLEM TO UNDERSTAND THE LANGUAGE PROPERLY

Q: - A ladder of length 17 feet is leaning against a wall. The base of the ladder is moving away from…

A: Given query is to find the rate of change of angle.

Q: A weather balloon is rising vertically at the rate of 5 meters per second. An observer is standing…

A:

Q: A jet airliner is flying at a constant altitude of 12,000 ft above sea level as it approaches a…

A: The diagram of a jet airliner A traveling at a constant height toward a radar station R is shown…

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

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

Q: A man 2 meters tall walks at a rate of 1.2 meters per second away from a light that is 5 meters…

A: dy/dt = rate of moving of tip of shadow dp/dt = rate of change in length of shadow

Q: MY When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers…

A: Solve to the given question condition

Q: If a ladder of length 20 ft which is leaning against a vertical wall has its upper end sliding down…

A: Given:         Length of ladder =20 ft    dhdt=-2 ft/sec

Q: An airplane is flying horizontally at an altitude of 9000 m. An observer on the ground noticed that…

A:

Q: 4.A ladder 10ft. long is resting against the side of a building if the foot of the ladder slips away…

A: This question is based on application of Derivative.

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

A:

Q: 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base is…

A:

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A: Set the height of the rocket be h and angle of elevation from the observer's eye is x. dhdt=600

Q: If a ladder of length 20 ft which is leaning against a vertical wall has its upper end sliding down…

A:

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

A:

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

A: Given that  Height of ladder=10 ft Let θ be the angle between the ladder and ground. Then cosθ=x10…

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Rate of change

Q: When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers…

A: To determine the rate of change of angle of elevation with respect to observer.

Q: A ladder 13 m long leans against a wall. The foot of the ladder is parallel along the ground away…

A:

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

A:

Q: 2.) A ladder 5 feet long rests against a vertical wall. If the bottom of the ladder (on level…

A: A ladder is 5 feet long. The speed at which the ladder slides away from the wall is 1 foot per…

Q: A boy is flying a drone at a constant height of 28 m above the ground. If the drone is moving…

A:

Q: A car leaves an intersection traveling west. Its position 4 sec later is 18 ft from the…

A: The figure below depicts the rate of change of y and x at time instant t=4 seconds

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance…

A:

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

A:

Q: Two boats are moving toward a buoy along paths that makes a 90 degree angle. The first boat is 165…

A:

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

A:

Q: A 10​-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Given: A 10​-ft ladder is leaning against a house when its base starts to slide away. By the…

Q: A triangle has two constant sides of length 6 ft and 2 ft. The angle between these two sides is…

A:

Q: A 25-ft ladder is leaning against a house when its base starts to side way. By the time the base is…

A: Consider h is the height, and b is the base, ladder's length be 'L' apply the Pythagoras theorem,…

Q: 49. A plane flying with a constant speed of 300 km/h passes over a ground radar station at an…

A: Form the triangle and use cousin formula then take the derivative.

Q: For a certain engine, a  7\inch connecting rod is fastened to a crank of radius 3 inches.  The…

A:

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: A ladder 20 ft. long leans against a house. When it is 16 ft. from the house, find the rate at…

A:

Q: 10. A ladder 13 ft. long leans against a vertical wall. If the top slides down at 1.5 ft. per sec.,…

A: Definition used-         In a right angle triangle -…

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A:

Q: 1. A 13-ft ladder is leaning against a house when its base is being pushed towards the wall. By the…

A:

Q: 2. You are watching a rocket launch into the air from 60 feet away. If the rocket is moving straight…

A: Given:- You are watching a rocket launch into the air from 60 feet away. If the rocket is moving…

Q: 2. An observers watches a plane approach at a speed of 600 mi/hr and at an altitude of 4 miles. At…

A: To see what's going on, we first draw a schematic representation of the situation, as in figure…

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

A: