An airplane is traveling in the direction 30° west of north at 800km/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.
what is the component form of the velocity of the airplane?

X-component of velocity = -800cos(60°).

Y-component of velocity= 800sin(60°).

Explanation:

Given Data

Direction of an airplane is 30° west of north at 800km/hr.

To Find

Component form of velocity

Solution

Lets draw the picture.

The angle between the velocity vector and the negative X-axis is 60° (= 90°-30°).

Using the definitions of the trigonometry functions

Then we have the:

X-component of velocity = -800cos(60°).

Y-component of velocity= 800sin(60°).

This is component form of the velocity of the airplane