A small airplane leaves an airport on an overcast day and is later sighted 215 km away, in a direction making an angle of 22° east of due north .How far east and north is the airplane from the airport when sighted?

Q: An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is…

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Q: Two racing boats set out from the same dock and speed away at the same constant speed of 85.5 km/h…

A: Given Constant speed of the two boats is given as v=85.5 km/h Time of travels is t=0.500 h Angles…

Q: An airplane has an airspeed of 540 kilometers per hour bearing N45°E. The wind velocity is 30…

A: The air speed of an airplane v1=540 [ cos ( 45 ) i + sin ( 45 ) j ] =540i2+j2 The wind velocity is…

Q: Starting in Albany, you travel a distance 427 miles in a direction 38.0 degrees north of west. Then,…

A: From Albany,displacement = 427 miles in 38 degrees north of westHorizontal component = 427 cos( 38)…

Q: Transcribed image text: 1. A small plane takes off from the island of Pango and flies for 90.0…

A: Given,1. Flight from Pango to Tango:- Time: 90.0 minutes = 1.5 hours- Speed: 250 MPH- Direction: 15…

Q: A plane is flying with an airspeed of 165 miles per hour and heading of 145°. The wind currents are…

A: The Velocity of plane Vp=165 miles per hourThe velocity of wind Vw=20 miles per hour

Q: Answer the problem with a complete step-by-step process or solution.  A ship sails 50 nautical…

A: Speed is given by rate of change of distance. In right angle triangle hypotenuse is square root of…

Q: From point A a pilot flies 125 km in the direction N38°20'W and turns back. Through an error, the…

A: Given, A pilot flies from point A to point B and tried to return back at point A.

Q: The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a…

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Q: A plane starts at one airport, flies 50km west and then turns to fly 200km in a direction that is 30…

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Q: An airplane needs to head due north, but there is a wind blowing from the southwest at 80 km/hr. The…

A: Draw the velocity diagram for the air and plane.

Q: A Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0°…

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Q: second team, what does it give for the second team's (a) distance from them and (b) direction,…

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Q: A boat leaves at noon and has a bearing of S 40 degrees E. The boat travels at 40 miles per hour.…

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Q: A ship leaves a dock at 13 mph. After an hour, it is seen from a lighthouse 12 miles east of the…

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Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A: Actual displacement which the explorer had to travel = 5.5 km , due north first leg of displacement…

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

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Q: A plane is flying at 100m/s due north with a cross wind (perpendicular to the plane's velocity) of…

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Q: MY NOTES ASK YOUR TEACHER Two geological field teams are working in a remote area. A global…

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Q: Sheila departs from the office and travels 22 km to the north. Then, she drives 30.0 ° east of south…

A: Firstly sheela departs from office and travel 22km to the north,  Then she moves 30 degree east of…

Q: How do I set up? A man wandering in the desert walks 3.3 miles in the direction of S44°W.   He then…

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Q: A ship leaves port at noon and heads due west at 30 knots, or 30 nautical miles per hour. At 3:00…

A: Here we have used trainagle law of vector addition  to calculate bearing or displacement

Q: An airplane has a cruising speed (speed of plane with respect to the air) of 567 mph. The wind is…

A: Velocity is a vector quantity. This means we have to pay attention to the angle between the…

Q: A person walks 29.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Displacement of person = 2.40 km in a direction 29o north of east

Q: A fishing boat leaves port on a bearing of 33° and travels 12.7 mi. The boat then turns due east and…

A: The correct answer is option (2) i.e. 14.2 mi; 41.2°

Q: A woman sailing a boat is following directions to a dock. First she sails 27.5m 66 degrees NE. Then…

A: The woman sails in the north of east direction for a distance of r1 = 27.5 m at 66° And then in the…

Q: Bronwyn is lost in the woods. If she took the following path, 2.6 km [N35E], 3.1 km [N27W], and then…

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Q: A small, experimental aluminum airplane leaves its classified location on a fogsy and overcast day,…

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Q: A plane is traveling above a plain at 250 km/h on a heading of [N25°E] in a 35 km/h wind from the…

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Q: To get out of the harbor, a container ship sails at a bearing of 240° for 6 km before changing…

A: In this problem we will treat the two displacements as vectors.  resolve them into their respective…

Q: A person is traveling in a plane at 400 miles/hour due east with a strong crosswind blowing from…

A: a) The required velocity is, The angle of direction is,

Q: The vector difference between Vectors A and B is 223.606 N, 26.57° N of W or 223 606 N, 63.43° NW.…

A: north of west

Q: A ship sails 400 miles due east. It then sails north 45 degrees West for 200 miles. Where is the…

A: According to question we need to find--- Where is the ship located, distance and angle?

Q: Star and Kiara are at the 2019 Something in the Water festival in VA Beach. They were separated from…

A: Consider the following illustration of the problem:     Here, A, B, and C are the positions of…

Q: A Freshman MSU student tours around the MSU campus. From the College of Natural Sciences and…

A: Given:-

Q: Gabby works as an aerial photographer. On one trip she takes off from the airport and flies 52km on…

A: here, she takes off from the airport and flies OA = 52km on a bearing N46°E. she then turns and…

Q: On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h…

A: Draw the diagram of the velocity components with proper labeling.

Q: A Coast Guard cutter detects an unidentified ship at a distance of 22.0 km in the direction 15.0°…

A: A coast cutter detects an unidentified ship at a distance of 22.0 km in the direction  east…

Q: A ship sets out to sail to a point 142 km due north. An unexpected storm blows the ship to a point…

A: Solution:-Using Pythagoras theorem

Q: An airplane is travelling at 620 km/h on a heading of 305°. The wind of 80 km/h is flowing from a…

A: Given:- |Va|=620 km/h θa = 305° |Vw|= 80 km/h θw= 260° Lets use polar form of vector representation…