A beacon that makes one revolution every 11 seconds is located on a ship anchored 2 kilometers from a straight shoreline. How fast is the beam moving along the shoreline when it makes an angle of 45° with the shore? NOTE: Enter the exact anzwer. Rate of change of the beam moving along the shoreline km/s

Q: A beacon that makes one revolution every 13 seconds is located on a ship anchored 4 kilometers from…

A: Given that a beacon that makes one revolution every 13 seconds is located on a ship anchored 4…

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A mixing blade on a food processor extends out 3 inches from its center. If the blade is turning at…

A: Given: A mixing blade on a food processor extends out 3 inches from its center. That is,…

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

A:

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: Let's solve given rate of change problem.

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Given that A street light is at the top of a 17ft tall pole.  A woman 6ft tall walks away from the…

Q: A kite 100 ft above the ground moves horizontally at a speed of 13 ft/s. At what rate is the angle…

A:

Q: A beacon that makes one revolution every 7 seconds is located on a ship anchored 2 kilometers from a…

A: Find your answer below

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Need help solving this and worked out solution im confused as to where to start. Its related rates

A: It is given that the kite 100 ft above the ground moves horizontally at a speed of 14 ft/s.

Q: A ball is being launched into the air. 21 feet away from the launch site is a camera. If the ball is…

A: Suppose y represents the height of the ball and θ be the angle of elevation.As the ball is…

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: Find the velocity, v, of the tip of the minute hand of a clock, if the hand is 8 cm long. cm per…

A: Given  r= 8 cm or 0.08 m  Calculate linear velocity (v) Formula for linear velocity is given by  V =…

Q: To measure the speed of a current, scientists place a paddle wheel in the stream and observe the…

A:

Q: a light is placed on the ground at a distance of 31 feet from the point at which a javelin will be…

A: Distance between light and javelin is AB=31 feet,  At some moment, height of javelin is BC=28 feet…

Q: A mixing blade on a food processor extends out 6 inches away from the center. If the blade is…

A:

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Topic:- algebra

Q: To measure the speed of a current, scientists place a paddle wheel in the stream and observe the…

A:

Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A certain clock has an hour hand of length 4 in and a minute hand of length 5 in. In inches per…

A: Using law of cosines the distance between tips when the hands are at angle of θ is:…

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: The radius of the Ferris wheel circular path is 20fr. If a "ride" of 16 revolutions is made in 3…

A: It is given that the radius of the wheel circular path is 20 ft and the ride is of 16 revolutions…

Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate is the angle…

A:

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: From the given problem: v=dsdt=8ft/sec. Let, Distance,  Woman to pole→SShadow to pole→x  So, the…

Q: A wheel has a diameter of 100 centimeters. If the wheel is supporting a cart moving at 45 kilometers…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 11 ft/s. At what rate is the angle…

A: For the given scenario, a rough sketch is as follows:

Q: A winch of radius 4 ft is used to lift heavy loads. If the winch makes 4 revolutions every 15 s,…

A:

Q: The figure below shows a camera mounted at a point 3000 ft from the base of a rocket launching pad.…

A: Suppose, we name the sides as shown:

Q: Find the rate of change of the angle when a wire of 250 dx feet is attached.

A:

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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 street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A ship, moving 6 km per hour, sails north for 2 hours, then turns east. If a searchlight at the…

A: We can find the answer as below.

Q: A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate is the angle…

A: Here we use trigonometric formulas along with differentiation formulas.

Q: A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle…

A: The diagrammatic representation of the problem is shown below.

Q: The second hand on a clock completes one full revolution per minute. If that second h what it is…

A: Given that: Second hand completes one full revolution per minute.Length of second hand = 15cm

Q: A gasoline-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

A:

Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

A:

Q: A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Firstly let us draw the diagram for given information as shown below and then find the how fast the…

Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

A: Let, the angle θ is an acute angle made by telescope and the vertical. The distance between the boat…

Q: How fast is the distance between the range finder and the balloon increasing (in meters per minute),…

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Q: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at 180…

A: To  Determine: How fast will your camera angle u be changing when the car is right in front of you?…

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

A: Heights and distance

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

A:

Q: A mixing blade on a food processor extends out 6 inches away from the center. If the blade is…

A: Solution: The blade is 6 inches from the center, rewritten as 0.5 feet from the center.

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

A: