a pilot must actually fly due west at a speed of 382 mph against a head wind of 55 mph blowing in the direct 22° south of east. What direction and speed must the pilot maintain to keep on course?

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: An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If…

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Q: A motorboat traveling across a wide river is headed 50 degrees north of west at a rate of constant…

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Q: A man walks 95 km East the 55 km North. Calculate his resultant displacement and direction.

A: Solution :-

Q: There is a wind of 35 mi/h from 320°. Find the airspeed in order that the groundspeed and course be…

A: The velocity of the wind is given by the vector, vw=35 cos(320°)i +35 sin(320°)j mi/h. The…

Q: Andrea and Carlos left the airport at the same time. Andrea flew at 180 mph on a course with bearing…

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Q: What is the bearing of the boat from the island?

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Q: An airplane needs to head due north, but there is a wind blowing from the northwest at 60 km/hr. The…

A: The given details: The wind blowing from northwest at 60km/hr. The plane flies at an airspeed of…

Q: A plane is flying with an airspeed of 160 mph and heading of 150º. The wind currents are running at…

A: Given Information -  Airspeed of the plane = 160 mph Heading of the plane = 150º Speed of wind = 35…

Q: wo boats (A and B) leave a harbour simultaneously. Boat A sails on a course of 010° at a speed of 15…

A: The boat A sails on a course of  at a speed of knots and B on a course of  with speed of  knots

Q: Two ships leave port at the same time. One ship travels at a speed of 18 mi/hr in the direction N…

A: First ship goes 18 mph for one hour. Hence, the first ship travels 18×1=18 miles. Similarly, second…