A balloon leaving the ground 60 ft. from an observer, rises vertically at the rate of 10 ft. per sec. How fast is the balloon receding from the observer, after 8 sec?

Q: 3. A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from…

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Q: A balloon is being inflated. If its volume increases at the rate of 5cm^3/sec, how fast is the…

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Q: A street light shines onto the ground from the top of a 30 ft tall pole. A 5.3 ft tall person is…

A: Make the diagram then try to understand

Q: street light is at the top of a 24 ft pole. A 5 ft tall girl walks along a straight path away from…

A: SOLUTION-

Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

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

Q: A woman is flying a kite on a long string. The kite itself has a 150 ft above the ground of the wind…

A: In the question we have to find the rate of string to let out.

Q: A l10-ft ladder is leaning against a vertical wall. If the bottom of the ladder is pulled away from…

A: If you like the solution then please give it a thumbs up.. The Answer is:        dy/dt = -3/2  or…

Q: A boat is being pulled with a rope towards a dock that is 10 ft above the water, as shown in the…

A: Let the distance of the boat= x ft y=length of the rope.  So,  given that dy/dt= 1.5 ft/min We have…

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

A:

Q: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Given, length of ladder = 17 ft But given that ladder is leaning against a wall ⇒  the ladder and…

Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

A:

Q: Water is flowing into an inverted conical reservoir, 20 ft deep and 10 ft across the top, at the…

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Q: A weight W is attached to a rope 50 ft long which passes over a pulley at P, 20 ft above the ground.…

A: Given: - A weight W is attached to a rope 50 ft, long which passes over a pulley at P, 20 ftabove…

Q: A boat is pulled toward a dock by means of a rope wound on a drum that is located 3 ft above the bow…

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

Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

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Q: A 14 ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A:

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 swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its…

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Q: A ladder is 36 feet long and is leaning against the side of a house. The base is moved away at 2 ft…

A:

Q: A spherical balloon is inflated at a rate of 10 cm3>min. At what rate is the diameter of the…

A:

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: The hour hand of a clock is 4 inches long and the minute hand is 6 inches long. At the moment the…

A: The hour hand of clock is 4 inches long and the minute hand is 6 inches long. At that time angle…

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: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away…

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Q: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A:

Q: c. A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that…

A: Definition uses-       Similar triangles -        If two triangles are similar then their…

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A: Given: The rope is drawn in over a pulley 5 feet higher than the bow at the rate of 2 feet per…

Q: A street light is at the top of a 29 ft pole. A 6 ft tall girl walks along a straight path away from…

A:

Q: 4. A street light is at the top of a 16 ft pole. A 6 ft tall woman walks along a straight path away…

A:

Q: A boat that arrives at a dock 20 ft above water level is being pulled in by a fisherman using a rope…

A: To find: The speed of the boat approaching the dock when the total length of rope out is 50 feet.…

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: Diagram of the given question will be as following x is the distance of the man from pole y is the…

Q: A car is moving at 60 mi/hr (88 ft/s) on a straight road when thedriver steps on the brake pedal and…

A: Given: u=88 feetsec, a=-10 fts2, t=3 seconds we know that s=ut+12at2…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Let y be the distance from top of the ladder to the ground And X be the distance from foot of the…

Q: D. A ladder 10 feet long rests against a vertical wall. If the top of the ladder slides down at a…

A: Make a diagram according to the situation.

Q: A kite, at a height of 60ft.is moving horizontally at rate of 5ft./sec away from the boy who flies…

A: In right angle triangle ,According to the Pythagoras theorem , H2 = P2 + B2 Where H is horizontal ,…

Q: A street light is at the top of a 20 ft pole. A 5 ft tall girl walks along a straight path away from…

A:

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

A:

Q: against

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

Q: B. A ladder 13 feet long rests against a vertical wall. If the top of the ladder slides down at a…

A:

Q: A street light is at the top of a 26 ft pole. A 5 ft tall girl walks along a straight path away from…

A: Given:

Q: A spherical balloon is inflating with helium at a rate of 48π ft^3/min. How fast is the​ balloon's…

A: Let V be the volume of a spherical balloon with radius r at any time t.

Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the…

A:

Q: light is 25 ft above a sidewalk and a man 6 ft tall is walking away from the point under the light.…

A:

Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of…

A:

Q: The radius of a circle is increasing at a rate of 2cm/s. How fast is the area of the circle…

A:

Q: 13-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of 4…

A:

Q: An arrow is shot vertically up word from a platform 20 feet high at a rate of 179 ft./s, when will…

A: We will use the quadratic equation approach to solve the problem given: Height , h = 2ft speed = 179…

Q: A balloon ascending at the rate of 12 ft/sec is at a height 80 ft above the ground when a package is…

A: Sol:-v0=12 ft/secHeight = h = 80 ftThen, y-y0=v0t-12gt2