An airplane flying due north at 90 km/h is being blown due west. The planes total velocity is 103 km/ hr north west. What is velocity of the wind?

50.09 km/h

Explanation:

Given that an airplane flying due north at 90 km/h is being blown due west. The planes total velocity is 103 km/ hr north west.

What is velocity of the wind ?

The wind velocity can be calculated by using pythagorean theorem.

From the question,

Resultant Velocity R = 103 km/h

Plane velocity P = 90 km/h

Wind velocity W = ?

W^2 = R^2 - P^2

Substitutes all the parameters into the formula

W^2 = 103^2 - 90^2

W^2 = 10609 - 8100

W^2 = 2509

W = sqrt ( 2509 )

W = 50.09 km/h

Therefore, the velocity of the wind is 50.09 km/h