ship leaves port traveling southwest at a rate of 12 mi>hr. At noon, the ship reaches its closest approach to a radar station, which is on the shore 1.5 mi from the port. If the ship maintains its speed and course, what is the rate of change of the tracking angle u between the radar station and the ship at 1:30 p.m. (as shown)? (Hint: Use the Law of Sines.)

Q: dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10 ft above the…

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: To find the rate of change of area and rate of change of theta when base is 20 feet

Q: Question 19. A circular area of r0 is swept out as a rod of fixed length r = 1 m pivots about a…

A: Given :                     Since a circular area of 12r2θ is swept out as a rod of fixed…

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: An airplane is flying at a constant speed at an altitude of 10,000 feet on a line that will take it…

A:

Q: 3. A plane travelling at an altitude of 20,000 feet passes directly overhead at time t = 0. One…

A: topic - rate of change

Q: The bottom of a large theater screen is 12 ft above your eye level and the top of the screen is 40…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTION AS PER…

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

A: Given  Length of the ladder = 10ft The bottom of the ladder slides away from the wall at a speed of…

Q: A man walks along a straight path at a speed of 6 ft/s. A searchlight is located on the ground 24 ft…

A: NOTE: Refresh your page if you can't see any equations. . for the right angle triangle, use the tan…

Q: Determine the period and frequency of the simple harmonic motion of a body of mass 0.75 kg on the…

A:

Q: A rocket travels vertically at a speed of 1100 km/hr. The rocket is tracked through a telescope by…

A: Draw the figure from the given data is as the theta is the angle between the telescope and the…

Q: 4) An airplane is flying at a constant speed and altitude on a line that will take it over a radar…

A:

Q: A merry-go-round has a radius of 4 m and is spinning at a rate of 0.5 x radians/s. Bill is standing…

A: To Determine:  (a) Who is moving faster (b) Which one is the first to make one revolution Given: A…

Q: The figure shows a device that can be used to measure the speed of a bullet. The device consists of…

A:

Q: A weight attached to a spring is pulled down 6 inches below the equilibrium position. Assuming that…

A: A weight attached to a spring is pulled down 6 inches below the equilibrium position. Assuming that…

Q: Rocket Elevation angle - 3000 ft- Camera Launching pad 12. For the camera and rocket in the above…

A:

Q: A boat sails directly toward a 150-meter skyscraper that stands on the edge of a harbor. The angular…

A:

Q: A rocket is launched so that it rises vertically. A camera is positioned L from the launch pad and…

A: Here we have to use the trigonometric ratios to solve the given problem

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 2 seconds.…

A:

Q: A Blu-ray disc is approximately 13 centimeters in diameter. The drive motor of a Blu-ray player is…

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: A balloon leaving the ground 18 m from the observer rises 3 m/s. How fast is the angle of elevation…

A:

Q: A bus hits a bump in the road, raising the back row seats by 16 inches above their regular position…

A: Given: When a bus strikes a pothole, the back row seats are raised 16 inches over their normal…

Q: An airplane is flying in still air at an airspeed of 475 miles per hour. The plane is climbing at an…

A:

Q: A person on a dock is pulling in at the rate of I m/sec a boat by means of a rope. The man's hands…

A: We will draw figure to find relation between angle of depression and length of rope then…

Q: Using a telescope, you track a rocket that was launched 13 km away recording the angle 0 between the…

A:

Q: A star rotates in a circular orbit about the center of its galaxy. The radius of the orbit is 3.7 x…

A: Please check step 2 for the solution.!

Q: Beginning 29 miles directly north of the city of Hartville, a boat travels due east. The boat is…

A:

Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 2 seconds.…

A:

Q: help!

A: According to the given information:Radius of circular drum (r) = 12ftDrum is spinning at the rate of…

Q: 3 A merry-go-round has a radius of 4 m and is spinning at a rate of 0.5π radians/s. Bill is standing…

A: Formula used: Circumference of circle = 2π×radius of circle  velocity =  angular velocity × radius

Q: The base of an isosceles triangle is 16 inches and the altitude increases at the rate of 6 inches…

A: The base of an isosceles triangle is 16 inches and the altitude increases at the rate of 6 inches…

Q: (a) A plane is traveling due east and passes over a radar station. When the plane is directly over…

A: using trigonometric identity

Q: A beacon on a lighthouse 1 mile from shore revolves at the rate of 10π radians per minute. Assuming…

A: A beacon on a lighthouse 1 mile from shore revolves at the rate of 10π radians per minute. Assuming…

Q: 13-A ladder A 13 foot ladder is leaning against a house when its base starts to slide away. By the…

A: Given, Distance between the base of ladder from side of the house = x  The base is moving at the…

Q: A boat leaves a port traveling due east at 12 mi/hr and at the same time another boat leaves…

A: Given that  a boat leaves a port travelling due east 12 mile/hour and at the same time another boat…

Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: A ship leaves port traveling southwest at a rate of 12 mi>hr. At noon, the ship reaches its…

A: Let θ be the angle between the radar station and the ship at time t

Q: A man observes the launching of a rocket from a distance of 300 feet. The rocket is launched at a…

A: Follow the steps. I have provided both the parts of the question.

Q: (b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

A:

Q: A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds.…

A:

Q: On a morning of a day when the sun will pass directly overhead, the shadow of a 72-ft building on…

A: We use derivative to find out the solution of given problem

Q: Question 19. A circular area of 1²0 is swept out as a rod of fixed length r = 1 m pivots about a…

A: The rate of change of area with respect to the time can be calculated by differentiating the area…

Q: On a sunny day, a 50 meter flagpole casts a shadow that changes with the angle of elevation of the…

A: Given, Height of flagpole = 50 meter Length of shadow = S

Q: Verify the identity by transforming the left-hand side into the right hand side.…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: A boat is pulled toward a dock by a rope from the bow through a ring on the dock (6 ft) above the…

A: Since there are multiple questions the first question is answered.Kindly repost with the question…

Q: The points of intersection between the Curves r 3sine and r=2-sine are: A)G and () B)e중)and (글,증)…

A:

Q: A port and a radar station are 3mi apart on a straight shore running east and west. A ship leaves…

A: Given: Let P be the port and R be the radar station. Hence, PR=3 mi A ship leaves the port P at noon…

Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 55 meters from an…

A: