An airplane is flying 25° north of east at a speed of 820 km/h. How fast is it moving

to the north?

A. 350 km/h

B. 0km/h

C. 820 km/h

D. 740 km/h

A. 350 km/h

Explanation:

Given,

The airplane is flying 25° north of east.

The speed of this plane is, v = 820 Km/h

The speed of the plane towards the north, Vn = ?

The North direction is taken as the Y-axis and the East as X-axis

The direction of the plane forms an angle 25° with the X-axis,

Then the Y component is given by the sine angle

Vn = v sin 25°

= 820 x 0.423

= 347 Km/h

Hence, the plane is traveling with a speed towards north is, V = 350 Km/h