Wind Correction Angle Calculator

Use our wind correction angle calculator to calculate wind correction angle (WCA) and heading from true airspeed, course, wind speed, and wind direction. Includes the wind correction angle formula used in aviation and an E6B-style step-by-step method.

True airspeed (kn)
Aircraft true airspeed in knots (TAS).
Course (α) (deg)
Desired course/track in degrees.
Wind speed (kn)
Wind speed in knots.
Wind direction (β) (deg)
Wind direction (from) in degrees.
Results
Wind correction angle (θ) (deg)
θ = asin((W/TAS) × sin(β − α)). Positive means steer right of course.
Heading (φ) (deg)
φ = α + θ (normalized to 0–360).
Assumes wind direction is the direction the wind is coming FROM. If crosswind exceeds true airspeed, the solution may be impossible.
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Wind Correction Angle in Aviation

Wind correction angle (WCA) is the angle you must steer left or right of your intended course to compensate for wind drift.

In aviation, WCA helps you maintain the desired ground track when wind is pushing the aircraft sideways. Your corrected heading becomes the direction you actually fly to stay on course.

This calculator uses true airspeed, course, wind speed, and wind direction to return the wind correction angle (θ) and the resulting heading (φ).

Wind Correction Angle Formula

WCA is based on the crosswind component relative to the course, using standard wind triangle relationships.

Relative wind angle =
Δ = β α

β is wind direction (from), α is course. Use degrees.

Crosswind component =
XW = WindSpeed × sin(Δ)

Positive/negative sign indicates drift direction relative to course.

Wind correction angle (θ) =
θ = arcsin(XW ÷ TrueAirspeed)

If |XW| > TrueAirspeed, the solution is not physically possible for maintaining the course.

Heading (φ) =
φ = α + θ

Add θ to course (with sign). A negative θ means steer left of course; positive θ means steer right.

α
= Course (deg)
β
= Wind direction (deg, wind is coming from this direction)
Δ
= Angle between wind direction and course (deg)
TrueAirspeed
= True airspeed (kn)
WindSpeed
= Wind speed (kn)
θ
= Wind correction angle (deg)
φ
= Heading (deg)
Example: calculate wind correction angle
TAS=110 kn, Course=090°, Wind=20 kn from 030° → Δ=030−090=−60° → XW=20×sin(−60°)=−17.32 → θ=arcsin(−17.32/110)=−9.06° → Heading=090−9.06=080.94°

Negative θ indicates correcting left to hold the course.

How to Calculate Wind Correction Angle

  1. 1

    Enter true airspeed (kn).

  2. 2

    Enter course (α) in degrees.

  3. 3

    Enter wind speed (kn).

  4. 4

    Enter wind direction (β) in degrees (direction the wind is coming from).

Frequently Asked Questions

How to find wind correction angle?

Compute the crosswind relative to your course, then divide by true airspeed and take arcsin: θ = arcsin((WindSpeed × sin(β−α)) / TAS).

How to calculate wind correction angle (E6B)?

An E6B uses the wind triangle graphically. The math version calculates crosswind and uses arcsin to get WCA, then adds it to course to get heading.

What is wind correction angle formula?

A common form is θ = arcsin((W × sin(β−α)) / TAS), where W is wind speed, β is wind direction (from), and α is course.

Is there a wind correction angle rule of thumb?

A common approximation is WCA (deg) ≈ (crosswind / true airspeed) × 60, which can be close for small angles. The calculator uses the trigonometric method for more accuracy.

Why do wind correction angle results look negative sometimes?

The sign indicates direction. Negative usually means correcting left of course, and positive means correcting right, depending on the angle convention.