N W -0- E S 100 km/h 900 km/h 32° 45°

Q: Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall…

A: Let x be the distance between tree & the path. H and h be the height of the tree.∴ from…

Q: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

A: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

Q: The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a speed…

A: Given The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a…

Q: A​ DC-9 aircraft leaves an airport from a runway whose bearing is N21°E. After flying for 1/4 mile,…

A: From the given information , let assume that the controller is at the origin . The pilot flies 210…

Q: A​ DC-9 aircraft leaves an airport from a runway whose bearing is N36°E. After flying for 1/2 mile,…

A: According to the question the figure is, Given that AO = 1/2, AB=1

Q: A radial saw has a blade with a 12-in. radius. Suppose that the blade spins at 1300 rpm. (a) Find…

A:

Q: A cruise ship maintains a speed of 15 knots (nautical miles per hour) in going from San Juan to…

A: Given A cruise ship maintains a speed of 15 knots (nautical miles per hour) in going from San Juan…

Q: A cruise ship plans a course N 47°30’ E from an island to a port on the mainland, which is 150 miles…

A: Consider the below figure. Here we have ∠NOA = 47°30’ and ∠NOB = 33°15’

Q: A river is flowing at 2.4 mph when a girl rows across it.  If the girl rows at a still-water speed…

A: The velocity of water flowing in the river is 2.4 mph. The velocity with which the girl rows is her…

Q: The rotor blades of a helicopter are 11 ft long and are rotating at 120 rpm. (a) Find the angular…

A:

Q: 2. A ship leaves a port and sails 4 hours on a course of 80° at 20 knots. Then the ship changes to a…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Bert can swim at a rate of 2 miles per hour in still water. The current in a river is flowing at a…

A: Given that Bert can swim at a rate of 2 miles per hour in still water. And the current in a river is…

Q: A plane is heading due south with an airspeed of 296 mph. A wind from a direction of 51° is blowing…

A: Formula used: Cosine rule: c2=a2+b2-2abcosC. Sine rule: asinA=bsinB=cSinC Calculation:  A plane is…

Q: 16. A pilot flies on a heading of 320° with an air speed of 240 km/h. Her actual ground velocity is…

A:

Q: A plane is flying with an airspeed of 233 miles per hour with a heading of 284.7°. The wind currents…

A: The wind currents are running at a constant 43.6 miles per hour in the direction 250.6°. To Find:…

Q: N A 140° 200 C 16.2

A: Consider the illustrated figure below for the flight of the plane.

Q: Two children are throwing a ball back-and-forth straight across the back seat of a car. THe thrown…

A: Topic - angle between vectors

Q: A plane rises from take-off and flies at an angle of 10° with the horizontal runway. When it has…

A: Given a  plane rises from take off and flies at an angle of with horizontal runway

Q: A​ DC-9 aircraft leaves an airport from a runway whose bearing is N57°E. After flying for 1/2 mile,…

A: Tangent of angle between runway and plane is 1/(1/2) = 2 arctan (2) = 63.44 degress Adding this to…

Q: Suppose I am in a boat and I travel at the bearing N70E at 30 knots for 4 hours. Then, I turn 90…

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Q: An airplane is headed on a bearing of 156° at an airspeed of 252 km per hr. A 53 km per hr wind…

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Q: 7. In the figure, A and B represent the position of two buoys, A ship leaves A in the direction…

A:

Q: An airplane is headed on a bearing of 160° at an airspeed of 209 km per hr. A 49 km per hr wind…

A:

Q: The rotor blades of a helicopter are 14 ft long and are rotating at 110 rpm. (a) Find the angular…

A:

Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

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Q: A plane with an airspeed of 190 mph is flying on a bearing of 120 degrees.  A wind is blowing from…

A: To calculate the (absolute) velocity vector , given the relative velocity vector

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

A: Let the pilot flying from A for 1 h 30 min changing its course at point B, heading 10 degrees to the…

Q: A Disney Cruise Ship leaves the end of a pier in Galveston, TX and heads due south. After traveling…

A:

Q: A small aircraft sets a course with a certain bearing and at a speed of 200 mph. A horizontal wind…

A: The angle θ is 3°

Q: A plane is flying at a speed of 320 miles per hour on a bearing of N70°E. Its ground speed is 370…

A: The diagram for the speed of the wind , ground speed of plane in vector form is shown,

Q: An airplane climbs at an angle of 13° with the ground. What is the distance it has traveled (to the…

A:

Q: An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of…

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Q: A plane is heading due south with an airspeed of 214 mph. A wind from a direction of 56° is blowing…

A:

Q: An airplane is headed on a bearing of 123° at an airspeed of 226 km per hour. A 49 km per hour wind…

A: We have been given that an airplane is headed on a bearing of 123° at an airspeed of 226 km per…

Q: A plane is flying at a speed of 540 miles per hour on a bearing of S36°E. Its ground speed is 500…

A: The ground speed is given by the magnitude of v+w. v+w=500cos314°+500sin314°≈347.33i-359.67j

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

A: Given query is to find the distance from the starting point.

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

A: Please refer the attached image for complete solution.

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

A: SOLUTION-

Q: The rotor blades of a helicopter are 16 ft long and are rotating at 150 rpm. (a) Find the angular…

A:

Q: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

A:

Q: The rotor blades of a helicopter are 12 ft long and are rotating at 180 rpm. (a) Find the angular…

A:

Q: A ship leaves a port and sails 450 km due west. It then sails 600 km due north. What is the ship’s…

A: Given that, A ship leaves a port and sails 450 km due west. It then sails 600 km due north.   Let x…

Q: A river flowing southward has a current of 8 miles per hour. A motorboat in still water maintains a…

A:

Q: 4. The entrance to a health clinic is a feet above street level. A ramp is installed from street…

A:

Q: An airplane has leveled off (is flying horizontally) at an altitude of 12,000 feet. Its pilot can…

A: If a transversal line intersects two parallel lines, then the consecutive interior angles are…

Q: 11) A boat sails on a bearing of 148.9° for 380 miles, then turns and sails 654 miles on a bearing…

A: Based on the given data, the graph is given by:

Q: An aircraft is flying at 300 km/h on a bearing of 80°. The wind is blowing at 50 km/h from a bearing…

A: Actual flying = Plane+Wind           x, y=300 cos80°, 300 sin80°+50 cos120°, 50 sin120°…

Q: The airline route from San Fran to Honolulu is on a bearing of 233 degrees.  A jet flying at 450 mph…

A: We have given,We have a vector of 450 mph at 233 degree, an interior angle of 233 can be given as :…

Q: The rotor blades of a helicopter are 12 ft long and are rotating at 130 rpm (a) Find the angular…

A: Step 1Given length = 12 ft = rRPM = 130Angular speed w = θt                     θ= angle change in…

Q: John hiked 1.5 mi. due east, then turned and hiked 2.3mi. roughly north of west. He ended up due…

A: John hiked 1.5m due east.