A man of height 1.8 m walks away from a 5-m lamppost at the speed of 1.2 m/s. Find the rate at which his shadow is increasing in length.

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Q: A man of height  1.9  meters walks away from a 5-meter lamppost at a speed of  2.1  m/s. Find the…

A: Let distance of the man from the pole=x   Let the length of the shadow =y…

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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…

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Q: A man of height 1.7meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate at…

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Q: A lighthouse is located on a small island 4km away from the nearest point P on a straight shoreline,…

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

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Q: A 6​-foot-tall woman walks at 9 ft/s toward a street light that is 24 ft above the ground. What is…

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Q: A 5 meter long ladder is leaning against a wall. If the bottom of the ladder is being pushed towards…

A: Let AB is h=5 m long ladder leaning against the wall AC. Distance between the bottom of the ladder…

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

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Q: A 6-ft tall man is walking towards a 15-ft tall street lamp at the rate of 9 ft/sec. How fast is his…

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Q: A 6 foot tall man walks away at the rate of 4 feet per second from the base of the street light 12…

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Q: At what rate is the height of the water rising at the instant the tank is half full?

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Q: A light is hung 7m above straight horizontal path. If a man 2meters tall is walking toward a light…

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Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline…

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Q: How fast is the tip of her shadow moving?

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: how

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Q: A man 6 feet tall walks at a rate of 2 feet per second away from a light pole that is 16 feet high.…

A: From the figure substitute value of BE, AE, AD and AC in equation (1)

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Q: Suppose a 10-foot ladder is leaning against a building. The bottom of the ladder slides away from…

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Q: The base of a 20-foot ladder is sliding toward a wall at a rate of 1.5 feet per second. How fast is…

A: We solve the above problem.