Aship, moving 9 km per hour, sails north for 2 hours, then turns east. If a searchlight at the point of departure follows the ship, how fast is the light rotating 5 hours after the start? Express your answer in radian per hour with two (2) decimal places.

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A: Write the tangent ratio for angle .

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Q: A man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15 feet above the…

A: Please see the explanation below

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A: Given θ=0.2 cos 8t To determine the maximum angular displacement θ is maximum, when…

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A: Using trigonometric identities

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A: Given problem:- A street light is at the top of a 10 ft tall pole. A woman 5.75 ft tall walks toward…

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Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

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: Given revolving beacon is situated 380 feet off a straight shore and it turns at 4.2 rad per sec.…

Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

A:

Q: When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Given:When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100…

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A: It is height and distance problem.

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A: Given that a hot air balloon is rising vertically and being tracked by an observer located 4 miles…

Q: A ship, moving 6 km per hour, sails north for 3 hours, then turns east. If a searchlight at the…

A: Topic = Trigonometry

Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A:

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

A:

Q: A ship, moving 12 km per hour, sails north for 45 minutes, then turns west. If a searchlight at the…

A: Given query is to find rate of change of rotation of light.

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given that:                   Length of ladder = 10ftBottom of the slider slides away from the wall…

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A: Set the height of the rocket be h and angle of elevation from the observer's eye is x. dhdt=600

Q: When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers…

A: To determine the rate of change of angle of elevation with respect to observer.

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A: A ladder is given that slides away from the wall we find angle between ladder and the ground…

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A: Given  Length of the minute hand of the clocks = 8 inches We know that the relation between length…

Q: A lighthouse, L, is on an island 4 mi away from the closest point, P, on the beach. If the…

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Q: A street light is at the top of a 14 foot tall pole. A 6 foot tall woman walks away from the pole…

A: This question is related to calculus .solved in step 2.

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Q: The figure below shows a camera mounted at a point 3000 ft from the base of a rocket launching pad.…

A: Suppose, we name the sides as shown:

Q: The angle of elevation of the sun is decreasing at a rate of 0.25 rad/hr. How fast is the shadow…

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Q: Ryan is eagerly watching a yellow flower falling straight down towards a point on the ground whose…

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Q: A ship, moving 6 km per hour, sails north for 2 hours, then turns east. If a searchlight at the…

A: We can find the answer as below.

Q: The legs of an isosceles triangle are increasing at the rate of 0.5 feet per minute, and the…

A: Given that the length of the legs=b=2 feetThe rate of change of the legs=dbdt=0.5The vertical…

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Q: The second hand on a clock completes one full revolution per minute. If that second h what it is…

A: Given that: Second hand completes one full revolution per minute.Length of second hand = 15cm

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A: Form the situation on a right triangle and use trigonometric ratio than differentiate.

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Q: A beacon that makes one revolution every 11 seconds is located on a ship anchored 2 kilometers from…

A: Concept of angular motion is to be used here.

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A: In a Martian day Mars covers 2π radian rotation. Suppose x hours are in a Martian day. Given that,…

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Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A: Solution is given below..

Q: A ladder 12 m long rests against a vertical wall. Let theta be the angle between the top of the…

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Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

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…

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Q: A man, 1.84 m tall is walking on a horizontal street at 3.9 kph away from a vertical street light,…

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