. A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast is his shadow lengthening?

Q: 3. A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from…

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Q: Assuming your car can slow at a constant rate of 15 ft/sec2, how much distance will your car cover…

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Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

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Q: In an isosceles right triangle, the hypotenuse is increasing at a rate of 0.1 ft/s. When the area of…

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Q: The area of a circle increases at a rate of 4 cm? /s. a. How fast is the radius changing when the…

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Q: Find the rate at which the water level is rising when the water level is 2 cm.

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Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

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Q: 7. A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast…

A: Given : A 6 ft tall man and a 15 ft tall street lamp and rate is 5 ft/sec

Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

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Q: 2. A rope is attached to a boat at water level, and a man on the dock is pulling on the rope at the…

A: Draw the given situation at any time t then using Pythagoras theorem and application of derivative.…

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 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…

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Q: A man starts walking north at 4 fts from a point . Fiveminutes later a woman starts walking south…

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

A: Consider the given:

Q: The radius of a circle is increasing at the rate of 0.7 cm/s. what is the rate of

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Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A: Given the data :

Q: 9. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 mi/hr. How fast does the…

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Q: A rectangular trough is 8 ft long. 2 ft across the top, and 4 ft deep. If water lows in at rate 2…

A: It is given that rectangular trough is 8 ft long. 2 ft across the top, and 4 ft deep. Suppose that x…

Q: Two cars start moving fr km/hr. At what rate is the

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

A:

Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

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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…

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Q: a of 3 inche tall and has a radius of 2 inches How fast does the water level rise when the water is…

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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…

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Q: If a car is traveling at 89.7mph, how fast is that in mm/s?

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Q: c. A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that…

A: Definition uses-       Similar triangles -        If two triangles are similar then their…

Q: A bicyclist accelerates at a constant rate from a standstill to 15 km/hr in 90 sec. a) How fast is…

A: a) Consider the given information: u=0 km/hrv=15 km/hrv=15 ×10003600m/sv=4.17m/st=90sec From…

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A: Given: The rope is drawn in over a pulley 5 feet higher than the bow at the rate of 2 feet per…

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 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…

Q: Two cars start moving from the same point. One travelssouth at 60 mih and the other travels west at…

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

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Q: How fast is the distance

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Q: A 6ft tall man is walking away from a 15ft tall street lamp at the rate of 5 ft/sec. How fast is his…

A: topic - triangles and rate

Q: A kite flying 80m high is blown horizontally by the wind at a velocity of 5m/s. If the string is…

A: We are given that a kite flying at 80m height is blown horizontally by the wind at a velocity of…

Q: 1. How fast is the water level rising in a rectangular fish tank whose base is 20 ft² if the tank is…

A: Give: Area of base is A=20 ft2 Rate with which tank is filling dVdt=0.5 ft3/min. Volume of 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. How fast is the top of the ladder sliding down the wall when the base of the ladder is 12 feet…

A: It is given that the length of ladder is 13 foot which acts as the hypotenuse of the right angled…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

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

A: Let x be the distance between both the hands and  be the angle between both the hands. To compute x,…

Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

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Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

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Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.  How fast does the tip of…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: light is 25 ft above a sidewalk and a man 6 ft tall is walking away from the point under the light.…

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Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of…

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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: A man 7.00 ft tall approaches a street light 16.0 ft above the ground at the rate of 6.00 ​ft/s. How…

A: Given data: The height of the man is CD=7 ft. The height of the street light is AB=16 ft. The rate…

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…