A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?

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A: Let x be the distance from the woman to the pole and y be the distance from the tip of the woman's…

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A: Write the tangent ratio for angle .

Q: A kite 100ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: Given that: Height of kite, h=100 ftHorizontal speed of kite = 6ft/s

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A: Given that, the ladder is 10 ft long ,the rate of change when  ladder slides is 0.7 feet per second.…

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Q: A kite 50ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: First I have drawn the diagram of the given situation and then using them solved the problem and…

Q: A circular blade with a 12-inch diameter spins at a rate of 1800 rpm (revolutions per minute). What…

A: Hi! This question falls under physics. This time we are answering is but kindly post questions under…

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

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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…

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Q: On a sunny day, a 50ft tall tree casts a shadow on the ground. As time passes, the sun moves in the…

A: Rate of change

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

A: Given a kite 65 feet above the ground moves horizontally at a speed of 6 ft/s.

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…

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Q: A kite 75ft above the ground moves horizontally at a speed of 8ft/s. At what rate is the angle…

A: we have to use pythagorean theorem

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.

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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 kite 100ft above the ground moves horizontally at a speed of 8ft/s. At what rate is the angle…

A: Given Kite flies at the height of 100ft  horizontal speed of kite is 8ft/s To find the rate of angle…

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

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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 kite 50ft above the ground moves horizontally at a speed of 4ft/s. At what rate is the angle…

A:

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

A: Given that:                   Length of ladder = 10ftBottom of the slider slides away from the wall…

Q: A 15-meter ladder is resting against a vertical wall, If the bottom of the ladder is being pushed…

A: Let ladder AB, l=15 m, Ladder is pushed horizontally at the rate of 1.5 m/s, ⇒dydt=1.5 We need to…

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

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

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Q: When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers…

A: To determine the rate of change of angle of elevation with respect to observer.

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

A: A ladder is given that slides away from the wall we find angle between ladder and the ground…

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: If a ladder of length 20ft which is leaning against a vertical wall has its upper end sliding down…

A: Given : Length of the ladder = 20 ft

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

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

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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: The angle of elevation of the sun is decreasing at a rate of 0.25 rad/hr. How fast is the shadow…

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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…

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Q: A rectangular beam is to be cut from a cylindrical log of diameter 20cm. Express the cross sectional…

A: It is given that the rectangular beam is cut from a cylindrical log of diameter 20cm.Therefore,…

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

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Q: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the…

A: Let OA= height of light      CD= height of man      BC= length of shadow…

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A: In a Martian day Mars covers 2π radian rotation. Suppose x hours are in a Martian day. Given that,…

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…

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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…

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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…

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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…

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Q: A kite 100ft above the ground moves horizontally at a speed of 2ft/s. At what rate is the angle…

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

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Q: . A kite 100 ft above the ground moves horizontally at aspeed of 8 fts. At what rate is the angle…

A: At what rate is the angle between the stringand the horizontal decreasing when 200 ft of string has…