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While preparing for departure on runway 08, the wind is reported as 140° at 15 kt. Which headwind/tailwind and crosswind components will the aircraft experience during both take-off and landing on this runway?

  • A

    Crosswind from the right 7 kt. Headwind 12.5 kt.

  • B

    Crosswind from the right 10 kt. Tailwind 6 kt.

  • C

    Crosswind from the right 12.5 kt. Headwind 7 kt.

  • D

    Crosswind from the left 12.5 kt. Headwind 7 kt.

1. Identify the runway heading

  • Runway 08 corresponds to a magnetic heading of 080°. So, the aircraft is aligned roughly east.

2. Compare wind direction to runway heading

  • Reported wind: 140°/15 kt
  • Difference between wind direction and runway heading = 140° – 080° = 60°.
  • So, the wind is coming from 60° to the right of the aircraft’s nose.

3. Resolve wind into components

We split the wind vector into:

  • Headwind/Tailwind component (along the runway axis)
  • Crosswind component (perpendicular to the runway)

The formulas are:

Headwind Component (HWC) = V x cos θ
Crosswind Component (XWC) = V x sin θ

Where:

  • V = 15 kt (windspeed)
  • θ = 60° (angle between wind and runway heading)

4. Calculate

  • Headwind = 15 × cos⁡ (60°)= 15 × 0.5 = 7.5 kt ≈ 7 kt
  • Crosswind = 15 × sin ⁡(60°) = 15 × 0.866 = 12.99 kt ≈ 12.5 kt

5. Determine crosswind direction

Since the wind is coming from 140°, and the runway heading is 080°, the wind is from the right-hand side of the aircraft.

So:

  • Crosswind: 12.5 kt from the right
  • Headwind: 7 kt

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