An airplane is traveling in the direction 20 degrees west of north at 700 km/hr. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north.

Question

Breanna

Mathematics

31 January, 02:08

An airplane is traveling in the direction 20 degrees west of north at 700 km/hr. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north.

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Answers (1)

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Benjamin Case · Answer 1

(-239.4, 657.8) km/h

Step-by-step explanation:

Measured CCW from the + x axis, the angle at which the airplane is traveling is 110°. Then the (x, y) components of the velocity vector are ...

(700 km/h) (cos (110°), sin (110°)) ≈ (-239.4, 657.8) km/h