A 50 km/hr wind is blowing due northwest what are the components of the wind in the northern and western direction?

The components of the wind in the northern direction is approximately 35.36 km/hr

Similarly, the components of the wind in the western direction is approximately 35.36 km/hr

Explanation:

The given parameters are;

The magnitude of the speed of the wind, v = 50 km/hr

The direction of the wind = The northwest direction

Therefore;

Given that the angle between the northern and western direction = 90°

The angle in the northwestern direction, θ = 90°/2 = 45°

Therefore;

The components of the wind in the northern direction = = v × sin(θ)

Substituting the values, we have;

The components of the wind in the northern direction = = 50 × sin(45°) = 50/√2 ≈ 35.36 km/hr.

Similarly, the components of the wind in the western direction = vₓ = 50 × cos(45°) = 50/√2 ≈ 35.36 km/hr

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