Wind Correction Angle Formula
Calculate the wind correction angle (WCA) for aviation navigation.
Correct your flight heading to compensate for crosswind drift using the WCA formula.
The Formula
The Wind Correction Angle (WCA) tells you how many degrees to offset your heading into the wind to maintain a straight track over the ground. Without this correction, crosswinds will push your aircraft off course — sometimes significantly.
This formula gives the WCA in degrees. You then fly a heading equal to your desired track plus or minus the WCA (depending on whether the wind is from the left or right).
Variables
| Symbol | Meaning | Unit |
|---|---|---|
| WCA | Wind Correction Angle — degrees to crab into the wind | degrees |
| Wind Speed | Speed of the wind | knots |
| TAS | True Airspeed — your aircraft speed through the air mass | knots |
| Wind Angle | Angle between the wind direction and your desired track | degrees |
How to Find Wind Angle
The Wind Angle is the difference between the wind direction and your desired track, measured as a positive angle between 0° and 180°. For example, if your desired track is 090° and the wind is from 045°, the wind angle is |090° - 045°| = 45°.
A wind angle of 90° means a pure crosswind — maximum drift. A wind angle of 0° or 180° means a direct headwind or tailwind — no drift, WCA = 0.
Example 1 — Classic Crosswind Problem
TAS = 120 knots. Wind is 30 knots from 045°. Desired track = 090°. Find WCA.
Wind Angle = 090° − 045° = 45°
sin(WCA) = (30 / 120) × sin(45°)
sin(WCA) = 0.25 × 0.7071 = 0.1768
WCA = arcsin(0.1768) ≈ 10.2° — crab 10.2° into the wind
Example 2 — Light Aircraft
Cessna flying at TAS = 90 knots. Direct crosswind of 15 knots (Wind Angle = 90°). Find WCA.
sin(WCA) = (15 / 90) × sin(90°)
sin(WCA) = 0.1667 × 1.0 = 0.1667
WCA = arcsin(0.1667) ≈ 9.6°
Ground Speed Formula
Once you have the WCA, you can also calculate your Ground Speed (GS) — the actual speed over the ground after accounting for wind effects:
A headwind component reduces ground speed. A tailwind component increases it. For flight planning, ground speed determines your actual flight time and fuel requirement.
The Rule of 60 (Practical Shortcut)
Pilots often use a quick mental shortcut: if the wind speed is about 10% of TAS with a 90° crosswind, the WCA is roughly 6°. More precisely: WCA ≈ (Wind Speed / TAS) × 60 for small angles (less than 15°). This approximation works well for light crosswinds and normal cruise speeds.
When to Use It
Use the wind correction angle formula when:
- Planning VFR cross-country flights where you need to maintain a specific ground track
- Flying IFR approaches with published tracks that must be followed precisely
- Dead reckoning navigation without GPS — knowing your exact heading is critical
- Teaching student pilots the relationship between heading, track, and wind
- Flight simulators and navigation software that model realistic wind drift
- Marine navigation, where current plays a similar role to wind in aviation