Question

The compass of an airplane indicates that the airplane is heading north. The airplane is moving at an airspeed of 230 km/h. The wind is blowing east at 55 km/h.

1.What is the speed of the plane with respect to the ground?
2.How many degrees east of north is the plane’s velocity with respect to the ground?

Answer 1

Answer:

Explanation:

airspeed is speed with respect to air .

Let speed of airplane with respect to ground be V .

wind is blowing east at 55 km/h

airplane is heading north with speed V

Resultant of V and 55 km /h is 230 km/h

V² + 55² = 230²

V² = 52900 - 3025

V = 223.32 km/h

Let θ be the required angle

Tanθ = 55 / 223.32 = .246

θ = 14⁰ .