Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If he is walking at a speed of 1.5 m/s, how fast is the end of his shadow moving (with respect to the lamp post) when he is 6 meters away from the base of the lamp post?

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Q: A 5-foot-tall woman walks at 8 ft>s toward a streetlight that is 20 ft above the ground. What is…

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Q: A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground.…

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Q: At noon, ship A is sailing north at a speed of 7mph, at the same time ship B, 5 miles west of ship…

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A: The solution is given below

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Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

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Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: Here we use the application of derivative

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Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

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A: Given that car skids, 15 m if it is moving at 50 km/h when the brakes are applied. That is,

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Q: A man 2m tall is walking at the rate of 2m/s away from a lamp post 7m high. At what rate is the tip…

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Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

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

A: The given data is: A street light is at the top of a 13-foot tall pole A 6-foot tall woman walks…

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A: Let y be the distance of lighthouse from nearest point on the shoreline and at time t, the beam…

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A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

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A: Consider the given value of acceleration due to gravity 1.6 m/sec2.

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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: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A:

Q: An aircraft is climbing at a 300 angle to the horizontal. How fast is the aircraft gaining altitude…

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Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

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Q: A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with…

A: Given  The diameter of cylindrical vessel  dc=26 cm. The altitude of cylindrical vessel is H=500…

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A: According to the given question,

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A: Given:      Height of man =6 feet     Height of light =20 feet     Rate of walk by man dxdt=5 ft/sec…

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Q: Suppose that Stuart is 6 feet tall and is walking towards a 20 foot streetlight at a rate of 6 feet…

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Q: A ladder 13 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

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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…