A spotlight on the ground shines on a wall 12 m away. If a girl 1.2 m tall walks from the spotlight toward the building at a speed of 1.1 m/s, how fast (in m/s) is the length of her shadow on the building decreasing when she is 4 m from the building?

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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:

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A: Here we find rate of shadow lengthening.

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A: Decreasing:- We know that if something is decreasing then it is going down.

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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…

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A: Here we use the application of derivative

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

A:

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…

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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…

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A: This question is based on application of differentiation.

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

A:

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: 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 spotlight on the ground shines on a wall 12 m away. If aman 2 m 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 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.

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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…

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

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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 man that is 6 feet tall walks towards a light that is 20 feet above the ground at a rate of 5 feet…

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

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: 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…

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Q: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

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Q: A 22-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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