A ship, moving 6 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.

Q: A beacon that makes one revolution every 13 seconds is located on a ship anchored 4 kilometers from…

A: Given that a beacon that makes one revolution every 13 seconds is located on a ship anchored 4…

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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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…

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Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: The base x of the right triangle in Figure increases at a rate of 5 emfs, while the height remains…

A: Write the tangent ratio for angle .

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

A: Let the angle be θ between the ladder and the ground.

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

A: Given that, the ladder is 10 ft long ,the rate of change when  ladder slides is 0.7 feet per second.…

Q: A street light is at the top of a 14 ft tall pole. A woman 5.25 ft tall walks toward the pole with a…

A: Let the distance of the person from pole be denoted as y. Let the length of the shadow of person…

Q: A 15-centimeter pendulum moves according to the equation θ= 0.2 cos 8t, where θ is the angular…

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

Q: An airplane is flying at a constant altitude of 4,400 ft. and passes through as point directly above…

A: Using trigonometric identities

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

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

Q: A beacon that makes one revolution every 7 seconds is located on a ship anchored 2 kilometers from a…

A: Find your answer below

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:

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.

Q: A revolving beacon is situated 380 feet off a straight shore. If the beacon turns at 4.2 radians per…

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 at the top of a 10 ft tall pole. A woman 6.5 ft tall walks toward the pole with a…

A:

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

A: It is height and distance problem.

Q: A search light projected from a stationary helicopter that is hovering 1 mile directly over a bank…

A:

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 street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward the pole with a…

A: Given problem:- street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward…

Q: A ladder is 20 feet long leaning against the wall of a house, forming a right triangle. The base of…

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 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: A certain clock has an hour hand of length 4 in and a minute hand of length 5 in. In inches per…

A: Using law of cosines the distance between tips when the hands are at angle of θ is:…

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

A:

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 49 Ib/ft. What is the…

A:

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.

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

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

Q: The minute hand of a clock is 8 inches long and moves from 12 to 2 o’clock. How far does the tip of…

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

Q: Aship, moving 9 km per hour, sails north for 2 hours, then turns east. If a searchlight at the point…

A:

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.

Q: A winch of radius 4 ft is used to lift heavy loads. If the winch makes 4 revolutions every 15 s,…

A:

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: Resonance is not a phenomenon

A: answer is in next step

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

A:

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

Q: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at…

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

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Solve the given problem.

Q: Mars rotates on its axis at the rate of about 0.2552 radian per hr. Approximately how many hours are…

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

Q: How fast is the distance between the range finder and the balloon increasing (in meters per minute),…

A:

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 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: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at 180…

A: To  Determine: How fast will your camera angle u be changing when the car is right in front of you?…

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 street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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 revolving beacon is situated 3000 ft off a straight shore. If the beacon turns at 4n rad/min., how…

A: Solution is given below:

Q: A street light is at the top of a 13 ft tall pole. A woman 5.5 ft tall walks toward the pole with a…

A: a) Given ,Length of pole =13ft Height of the woman =5.5ft Velocity =6ft/sec