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The pilot of an airplane notes that the compass indicates heading west. The airplane's speed relative to the air is 100 km/h. The air is moving in a wind at 25.0 km/h toward the north. Find the velocity, magnitude and direction of the airplane relative to the ground.

Respuesta :

AL2006
The airplane's speed relative to the ground is

                                     √ (100² + 25²)

                                 =  √ (10,000 + 625)

                                 =  √ 10,625

                                 =      103.08  km/hr .

The angle of its velocity north of west is
the angle whose tangent is  (25/100)

                         arctan(25/100) = 14° north of west .

                                             (bearing = 284°)

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