A balloon is 30 meters above the ground when a car, running at 40 kph, passes directly below it. It the balloon is rising at 5 m/s, how fast is the distance between the balloon and car changing 10 seconds after the car is directly below the balloon?

Q: The height of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

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Q: A balloon is 20 m horizontally away from an observer. At an instant, the balloon rises vertically at…

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Q: A ladder 10 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: Car A leaves a parking lot at 9 am and travels eastward at the rate of 60 kph. Another vehicle, car…

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Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: A small balloon is released at a point 60 feet away from an observer, who is on level ground. If the…

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Q: A pole that is 6625 feet long is leaning against a brick wall. The bottom of the pole is getting…

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Q: A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a…

A: Let D be the distance between boy and balloon. To find: dDdt after 3 sec later.

Q: . A 15 foot ladder is resting against the wall. The bottom is initially 10 feet away from the wall…

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Q: The top of a 10 ft ladder slides down a vertical wall at a rate of 1 ft/sec. How fast is the…

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Q: The area of a circle is increasing at a rate of 80n square feet per second. How fast is the radius…

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: A ladder 25 feet is leaning against a wall. If the foot of the ladder is being pulled away from the…

A: To determine the rate at which the ladder is sliding. Given: Ladder is 25 feet long dx/dt = 14…

Q: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

A: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

Q: An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance between the…

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Q: A ​13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Given  Length of ladder = 13 foot  Rate of movement of ladder from wall = 4ft/second

Q: A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward…

A: Decreasing:- We know that if something is decreasing then it is going down.

Q: A 6-ft-diameter cylindrical tank is filled with water to a height of 10 ft. It is drained such that…

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Q: A 17 feet ladder is leaning against a wall. if the bottom of the ladder is pulled along the ground…

A: Given:- A 17 feet ladder is leaning against a wall. if the bottom of the ladder is pulled along the…

Q: 9. A man 5 n tall is walking toward a building at the rate of 3 A/sec. If there is a light on the…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Area of triangle= 12b hb= baseh=height

Q: The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is…

A: Given that  The altitude of a triangle is increasing at a rate of 3 cm/min The area of the triangle…

Q: 4. A spotlight is on the ground 20 feet away from a wall and a 6-ft tall person is walking towards…

A: Spot light and the wall is at the distance 20 ft.  Person height is 6 ft. He is walking towards the…

Q: A man of height 1.8 m walks away from a 5-m lamppost at the speed of 1.2 m/s. Find the rate at which…

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Q: A 15-foot ladder is leaning against a mango tree. If the top of the ladder is sliding down the tree…

A: We need to find rate of bottom of ladder moving.

Q: A weather balloon is rising vertically at the rate of 10 ft/s. An observer is standing on the ground…

A: Given:A weather balloon is rising vertically at the rate of 10 ft/s. An observer is standing on the…

Q: A 15-foot teddy bear is leaning against a shelf. The top hand of the teddy bear is sliding down the…

A: Let horizontal distance= x ft , vertical distance= y ft Relation between x and y is: Given that…

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Solution: Given that  A=160cm2 ,h=10cm and dA/dt= 2cm2/min  ,dh/dt=1cm/min

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

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Q: A 15 meters ladder is resting against the wall. The bottom is initially 10 meters away from the wall…

A: Let the length of the wall be y meters.  Let x be the distance between ladder and the wall at any…

Q: How fast is the bottom of the ladder moving along the ground

A: The rate of change is represented by derivative. Therefore the solution would be found by using the…

Q: A 10-meter ladder is leaning against the wall of a building. It begins to slide down the wall. When…

A: Let l denote the length of the ladder leaning against the wall of a building Let x denote the…

Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline…

A: Let y be the distance of lighthouse from nearest point on the shoreline and at time t, the beam…

Q: A spotlight on the ground shines on a wall 12 m away. If aman 2 m tall walks from the spotlight…

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Q: A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

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Q: A 20-foot ladder is resting against a wall. The base is being pulled away from the wall at a rate of…

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Q: A 6ft tall man is walking away from a 15ft tall street lamp at the rate of 5 ft/sec. How fast is his…

A: topic - triangles and rate

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Firstly we will draw the diagram for given information and then find the required as shown below

Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

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Q: A 15 foot ladder is resting against a wall. The bottom is initially 10 feet away from the wall and…

A: Let: The length of the ladder be l. The top of the ladder be at a distance of y from the ground. The…

Q: A 20-foot ladder is leaning against a vertical wall. Suppose the base of the ladder slides away from…

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Q: A balloon is rising at a constant speed 4 m/s. A boy is cycling along a straight road at a speed of…

A:

Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The top of the…

A: Given: A ladder of length 13 m; dadt=0.1 m/s, dbdtb=5m=?

Q: A balloon is 20m horizontally away from an observer. At an constant, the balloon rises vertically at…

A: Let the distance between ballons and observer is y and vertically distance from the ground is x m…

Q: A 20-ft ladder is leaning against a wall, and the top of the ladder is sliding down the wall at a…

A: We have been given a 20ft ladder which is leaning against a wall and is sliding down the wall AD.…

Q: A 25-foot ladder is leaning against a house. The base of the ladder is pulled away from the house at…

A: Let x be the base of the ladder dxdt=3 feet/sec ladder = z = 25 feet x=7 feet y=252-72=24 feet

Q: A pole that is 74 feet long is leaning against a brick wall. The bottom of the pole is getting…

A: This question is related to rate of change, we will solve it using given information.

Q: A 25 -foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

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Q: A man 7.00 ft tall approaches a street light 16.0 ft above the ground at the rate of 6.00 ​ft/s. How…

A: Given data: The height of the man is CD=7 ft. The height of the street light is AB=16 ft. The rate…