A dinghy is pulled toward a dock by a ropefrom the bow through a ring on the dock 6 ft above the bow. Therope is hauled in at the rate of 2 ft/sec. How fast is the boat approaching the dock when 10 ft of rope are out?

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

A:

Q: A kite is flying at a height of 40 ft. A boy is flying it so that it is moving horizontally at a…

A: Given: Kite is moving horizontally at a rate of 3 ft per sec. To determine: The rate at which the…

Q: A helicopter takes o from a point 80 m away from an observerlocated on the ground, and rises…

A: Thus when the helicopter is 60 m above the ground the elevation angle of theobserver’s line of sight…

Q: A pulley having a diameter of 36 cm is turned by a belt that moves at the rate of 5 m/sec. How many…

A: In one revolution the pulley will rotate by an angle of 360°. Hence, the belt will cover a distance…

Q: a car braked with a constant deceleration of 20ft/s^2, producing skid marks measuring 350 ft before…

A: Measuring distances in feet and time (starting with the brakes being applied ) in seconds we have…

Q: A boat is pulled into a dock by a rope attached to the bowof the boat and passing through a pulley…

A: Let the distance of the boat B from the dock D be x meter. And the length of the rope is r passing…

Q: sw A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

A: Solve the given

Q: A Conical Cup is 4cm across and 6cm deel. Water leaks cut of the bottom of the cup cit a rate of…

A: Consider the given information. The diameter of the cup is 4 cm. r=d2=42=2 cm The height is 6 cm.…

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10ft above the…

A: Solution

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 light is at the top of a 16 ft pole. A man 6 ft tall walks away from the pole at a rate of 5ftsec…

A:

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

A:

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: Coffee is draining out of a conical filter at a rate of 2.25 in³/min. If the cone is 4 in all and…

A: The volume of cone is given by . The rate of coffee draining is 2.25 cubic inch per minute. This…

Q: Stephanie is standing atop at 13 ft ladder. The ladder is leaning against a vertical wall. The…

A:

Q: 2. A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate…

A: Given a 10-ft ladder is leaning against the wall Let BC be the ladder, Let AB=h and AC=b Then…

Q: A light is hung from a post that is 15ft. high. If a man 6ft. tall is walking away from the light at…

A: We need to find rate of shadow lengthening.

Q: A triangular trough is 10ft long, 6 ft across the top, and 3 ft deep. If water flows in at the rate…

A: Given: A triangular trough is 10 ft. long, 6 ft. across, and 3 ft. deep.If water flows in at the…

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

A:

Q: A kite 50 ft above the ground is moving horizontally at a rate of 4 ft/s. At what rate is the string…

A: We will be using the trigonometric ratios relating the sides of the triangle formed by strings and…

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 into a dock by means of a rope attached to a pulley on the dock. The rope is…

A: Given data:   The given height of the pulley is y=7 ft. The given rate at which rope pulled is…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A:

Q: A cylindrical pond has a 12 ft diameter, and the water in the pond is 4 ft deep. Water is being…

A: Diameter of cylindrical pond =12 ft  Radius r=12/2=6  Volume = 3.14r^2 depth

Q: A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: Given problem:- A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5…

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

A: Calculation of rate by which shadows lengthening.

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 boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We sketch the situation roughly  Let us assume x=the distance of the boat from the dock y=the…

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is…

A: Introduction:Denote the horizontal distance of the front of the boat from the dock as x.Denote the…

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

A: Let the horizontal distance of the ladder is = x ft Vertical distance = y ft So, Given that:…

Q: A spherical balloon is inflated with air flowing at a rate of 19 cm³/s. How fast is the radius of…

A: Use volume of sphere and differentiate wrt  t and put value

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: 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 13 ft. ladder is leaning against a house while the base is pulled away at a constant rate of 1…

A: We need to find the rate at which top of ladder sliding down

Q: A boat is being pulled into a dock by means of a winch 12 feet above the deck of the boat (see…

A: Given that:- A boat is being pulled into a dock by means of a winch 12 feet above the deck of the…

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 boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: The dock is 1m higher than the bow of the boat. Pulled rate of the rope of 1.4m/s To calculate the…

Q: A car braked with a constant deceleration of 18 ft/s2, producing skid marks measuring 100 ft before…

A:

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 car braked with a constant deceleration of 8 ft/s2, producing skid marks measuring 100 ft before…

A: constant deceleration of 8 ft/s2  skid marks measuring 100 ft

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:

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A:

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

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

A:

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

A:

Q: The base x of the right triangle in the figure increases at a rate of 6 cm/s, while the height remai

A: In this question we will use basic of calculus i.e application of differentiation. We will first…

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…