You are taking off on Runway 27 with a 30 kts wind from 310 deg M. What is your headwind and crosswind?

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Multiple Choice

You are taking off on Runway 27 with a 30 kts wind from 310 deg M. What is your headwind and crosswind?

Explanation:
The wind components are found by breaking the wind into parts that align with the runway direction. With Runway 27 heading 270°, and a wind from 310°, the angle between the wind direction and the runway is 40° (310° to 270°). Compute the along-runway (headwind) component: 30 kts × cos(40°) ≈ 30 × 0.766 ≈ 23 kts. Compute the cross-runway (crosswind) component: 30 kts × sin(40°) ≈ 30 × 0.643 ≈ 19 kts. So the headwind is about 23 kts and the crosswind about 19 kts.

The wind components are found by breaking the wind into parts that align with the runway direction. With Runway 27 heading 270°, and a wind from 310°, the angle between the wind direction and the runway is 40° (310° to 270°).

Compute the along-runway (headwind) component: 30 kts × cos(40°) ≈ 30 × 0.766 ≈ 23 kts.

Compute the cross-runway (crosswind) component: 30 kts × sin(40°) ≈ 30 × 0.643 ≈ 19 kts.

So the headwind is about 23 kts and the crosswind about 19 kts.

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