A winch of radius 4 ft is used to lift heavy loads. If the winch makes 4 revolutions every 15 s, find the speed at which the load is rising. ft/s

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…

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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…

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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…

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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 tire is rotating 600 times per min. Through how many degrees does a point on the edge of the tire…

A: The circular motion performed by a wheel has an angular speed ω. Angular speed is defined as the…

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: A 18-ft ladder leaning against a wall begins to slide. How fast is the angle between the ladder and…

A: A 18-ft ladder is leaning against the wall. To find how fast the angle between the ladder and the…

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 ladder that is 3 meters long is leaning against a wall. The base of the ladder slides away from…

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Q: A thread is being pulled off a spool at the rate of 59.4 cm per sec. Find the radius of the spool if…

A: Given The linear velocity is 59.4 cm per sec  and angular velocity is 152 revolutions per min .…

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: topic - application of derivatives

Q: A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft…

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Q: Assume gravity is 32 ft/s? and no external forces (ex: wind resistance). If you Jump off a 34 ft…

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Q: A thread is being pulled off a spool at the rate of 56.3cm per sec. Find the radius of the spool if…

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Q: A ladder 10ft. long is resting against the side of a building if the foot of the ladder slips away…

A: Solved below

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

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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: A winch of radius 3 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15…

A: Radius = 3ftWinch make 8 revolution in every 15 second.

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

A:

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

A: It is height and distance problem.

Q: The blades of a fan have a radius of 16.5 in. and they turn one revolution every 0.125 sec.…

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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…

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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: 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 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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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: 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…

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

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Q: A winch is on top of a pole that is 25 ft high and it is using a rope to pull object A. The rope is…

A: Let the distance of the object from the wall is x. the length of the rope is L and the length of the…

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

A: This question is related to calculus .solved in step 2.

Q: A pendulum of length 100.10 in., located at a point at sea level where the radius of the earth is R…

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Q: Find the work done by a person weighing 187 lb walking exactly half revolution(s) up a circular,…

A: Given: Weight of the person = 187 lb The radius of the circular and spiral staircase = 4 ft

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 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: 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…

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

Q: A street light mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: Given information:   Height of the pole AC= 15ft and DE = 6ft is the height of the man and length of…

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

A:

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

A:

Q: A Ferris wheel of diameter 18m completes a full revolution every 2 minutes. The passengers board the…

A: revolution

Q: A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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

A:

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: find the rate at which the area is increasing

A: Given an isoscles triangle has a constant length of 4 ft. Angle Ø between these sides increases at…

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 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.