A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?

Q: The sides of a square are increasing at the rate of 2 inches per minute. How fast is the Area…

A: Given The side of square is increasing at rate of 2inches per minute.  The area of a square with…

Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/s. There is a light on the ground…

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Q: Due north, Seokjin is walking towards the most famous spot in a park at a rate of 1.3 meters per…

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Q: A child who is 4 feet tall walks at a speed of 3 feet per second away from a lamp post that is 20…

A: Given that the child is 4 feet tall and he walks at speed of 3 feet per second from lamp post of 20…

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

A: Here we find rate of shadow lengthening.

Q: An airliner passes over an airport at noon traveling 510 mi / hr due east. At 1:00 p.m., another…

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Q: A 5 foot girl is walking toward a 20- foot lamppost at the rate of 6 feet per second. How fast is…

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Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

Q: The top of a 10 ft ladder slides down a vertical wall at a rate of 1 ft/sec. How fast is the…

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Q: A spotlight on the ground shines on a wall 12 m away. If a girl 1.2 m tall walks from the spotlight…

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

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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: a man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towardss a lamp post that is…

A: To find: The rate of the man shadow moving when he is 30 feet from the post. Given: The height of…

Q: Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If he…

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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

Q: A spotlight on the ground shines on a wall of a building 20 feet away. If a man 6ft tall walks from…

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Q: Two people start from the same point. One walks east at 2 km/h and the other walks northeast at 3…

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Q: Suppose a car is going 31 miles per hour and slams on the break and decelerates at 13 feet per…

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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…

A: Let, a be the spotlight and “ed” be the wall on which the spotlight shines.Therefore, “ad” is the…

Q: Two runners start moving from the same point. One runs north at 8 km/hr and the other runs east at…

A: • Distance travelled = Speed × time • The rate of change of the distance between the two runners can…

Q: Two runners start moving from the same point. One runs north at 8 km/hr and the other runs east at 6…

A: Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the squares of…

Q: A man 6 ft tall walks along a level sidewalk away from a lamppost. On the post is a street light 18…

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Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

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Q: Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost which…

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Q: A lady 1.65 meters tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given: Height of lady=1.65 m Height of lamp post=2.65 m Speed of lady=1.5 m/s To find: Shadow of…

Q: The base of a 13 foot ladder that is leaning against a wall begins to slide away from the wa When…

A: It is given that, length of the ladder x = 13 feet,  The distance between the foot of the ladder and…

Q: A man 2 m tall walks toward a lamppost on level ground at a rate of 0.5 m/s. If the lamp is 5 m high…

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Q: A 10-meter ladder is leaning against the wall of a building. It begins to slide down the wall. When…

A: Let l denote the length of the ladder leaning against the wall of a building Let x denote the…

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

A: The height of the woman is 6 ft. and the height of the street light is 24 ft.The woman walks at 9…

Q: A spotlight on the ground shines on a wall 10 m away. If a man 3 m tall walks from the spotlight…

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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…

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Q: A man that is 5 feet tall is walking in a straight line at a rate of 3 ft / s towards a lamp post…

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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 30-foot ladder is leaned up against a 2-story building with 8-foot floors. The bottom of the…

A: Consider the diagram below with marked information: Speed of change in base is 6 feet per second.

Q: . 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…

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Q: A man 6 ft. tall is walking towards a building at the rate of 4 ft./sec. If there is a light on the…

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Q: A 7 foot long snake is crawling along the corner of a room. It is moving at a constant 2/3 foot per…

A: Given Length of snake = 7 feet Speed of snake = 23feet per second We need to calculate the rate at…

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

A: According to the given question,

Q: A light sits on the ground 20 feet away from a very tall wall. A 5-foot-tall person walks toward the…

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Q: A man 6 ft tall walks at a rate of 2 ft/sec away from a lamppost that is 17 ft high. At what rate is…

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Q: A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2 revolutions…

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Q: A street light is at the top of a 11.0 ft. tall pole. A man 5.8 ft tall walks away from the pole…

A: Given : Height of pole h = 11.0 ft Height of man = 5.8 ft  Man walks away from pole with the speed…

Q: A ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled…

A: A ladder 25 feet long is leaning against a vertical wall. The bottom of the ladder is pulled…

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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