A boat is pulled toward a dock by means of a rope wound on a drum that is located 2 ft above the bow of the boat. If the rope is being pulled in at the rate of 4 ft/sec, how fast is the boat approaching the dock when it is 33 ft from the dock? (Round your answer to one decimal place.)

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

A: From the Pythagorean theorem, BC2+AB2=AC2

Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A: Given that the initial velocity of the car is 50 mi/h and the deceleration is 40 ft/s2. The…

Q: 1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: A boat is pulled in to a dock by a rope with one end attached to the front of the boat and the other…

A:

Q: A baseball diamond is a square with sides of 90 feet. Home Base 90 ft 90 ft. 1st Base 3rd Base 90…

A: Given that  a baseball diamond is a square with side of 90 feet. A batter at home base hits the ball…

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: A boat is pulled toward a dock by means of a rope wound on a drum that is located 5 ft above the bow…

A:

Q: The base of a 10-ft ladder leaning against a wall begins to slide away from the wall. At the instant…

A: Given:          From the above figure     dxdt=6 ft/sec

Q: A street light is at the top of a 14 ft tall pole. A woman 5.25 ft tall walks toward the pole with a…

A: Let the distance of the person from pole be denoted as y. Let the length of the shadow of person…

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: A man on a wharf is pulling a small rope tied at the end of a cable, used in mooring a boat…

A: Let L be the length of the rope out      x be the distance between the boat and the wharf As man on…

Q: A street light is at the top of a 29 ft pole. A 4 ft tall glri walks along a straight path away from…

A:

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks toward the pole with a…

A:

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 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 street light is at the top of a 10 ft tall pole. A woman 5.75 ft tall walks toward the pole with a…

A: Given problem:- A street light is at the top of a 10 ft tall pole. A woman 5.75 ft tall walks toward…

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 traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A: Given,            A car is travelling at 50 mi/hr when fully braked is applied, producing a…

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: A street light is at the top of a 10 ft tall pole. A woman 6.5 ft tall walks toward the pole with a…

A:

Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A: Kinematic equation of velocity: (v2 - u2)=2as Where v=final velocity of car And u=initial velocity…

Q: A street light is at the top of a 13 ft tall pole. A woman 5 ft tall walks toward the pole with a…

A:

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: A street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward the pole with a…

A: Given problem:- street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward…

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: The speed of a moving sidewalk at an airport is 2ft/sec. A person can walk 45ft forward on the…

A: Let his speed on a non-moving sidewalk is = x ft/sec Given the speed of the moving sidewalk = 2…

Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A: Given that  Initial Speed, u = 50 mi/h                         = 50×528060×60FT/s…

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: The base of a 13-ft ladder leaning against a wall begins to slide away from the wall. At the instant…

A: Let the distance between the base of the ladder and wall be x and the distance between the top of…

Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A:

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:

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

A: Given

Q: A rope is attached to a boat at water level, and a personon a dock is pulling the rope at the rate…

A: Let's find speed of boat.

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is waking away from the pole…

A: Given that:Height of the poll is 12 ft and height of the person is 5 ft 6 in or 5.5 ft.Let x and y…

Q: At a distance of 55 ft from the pad, a man observes a helicopter taking off from a heliport. If the…

A: Consider  the diagram of a given situation : Given: Y = 55 ft H = 116 ft dHdt=53 ft/sec X =…

Q: A boat is pulled toward a dock by means of a rope wound on a drum that is located 5 ft above the bow…

A:

Q: A water trough is 800 cm long and a cross-section has the shape of an isosceles trapezoid that is 40…

A:

Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A: Given: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant…

Q: The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep…

A:

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 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 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 spherical balloon currently has a radius of 20 cm. If the radius is still growing at a rate of 5…

A: The solution of the problem is given in the next step.

Q: The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance…

A: Solution

Q: A street light is at the top of a 13 ft tall pole. A woman 5.5 ft tall walks toward the pole with a…

A: a) Given ,Length of pole =13ft Height of the woman =5.5ft Velocity =6ft/sec

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…