A woman walks along a straight path at a speed of 5 ft/s. A searchlight is located on the ground 24 ft from the path and is kept focused on her. At what rate is the searchlight rotating when the woman is 16 ft from the point on the path closest to the searchlight?

Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

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Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at…

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Q: A small rocket is launched straight up in the air at a speed of 4ft/sec. A camera on the ground, 10…

A: Consider the given information. At any time t, rocket is at C tanθ=ACAB=AC10

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

A: Given a kite 65 feet above the ground moves horizontally at a speed of 6 ft/s.

Q: A bird 150 ft above the ground flies horizontally at a speed of 11 ft/s. At what rate is the angle…

A: Given Data: The height of the bird above the ground is: y=150 ft The speed of the bird is: x'=11…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

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Q: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

A: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

Q: You are standing 12 feet away from a balloon launcher that will release a balloon vertically up into…

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Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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