How to calculate wind correction angle, true heading and ground speed
Wind correction angle is asin(crosswind ÷ true airspeed). You turn into the wind by that much, no more, no less. True course 090°, 110 kt TAS, wind from 040° at 20 kt: fly 082° true, 8° left of course, and you'll make 96 kt over the ground. The Wind Triangle is worth using for any leg longer than about 20 nm; it draws the triangle on a compass rose so you can see why the correction goes the direction it does, not just trust the number.
What the wind triangle gives you
Three things you already have for each leg: true course off the chart, true airspeed from the POH, and the forecast wind. The wind triangle turns those three into the heading to actually fly and the ground speed you'll make, and from ground speed you get time and fuel for free.
The wind correction angle formula
- Angle = wind direction − true course.
- Crosswind = wind speed × sin(angle); headwind = wind speed × cos(angle).
- Wind correction angle = asin(crosswind ÷ TAS). True heading = true course ± that angle, into the wind.
- Ground speed = TAS × cos(wind correction angle) − headwind.
60 ÷ TAS × crosswind gives degrees of correction in your head: 60 ÷ 110 × 15 ≈ 8°, close enough for a sanity check mid-flight. Not a substitute for the planned figure, just a way to notice when the planned figure is wrong.
How to calculate it in E6B Calc
- On E6B, open Wind Triangle under Flight.
- Type the True course in degrees from your chart.
- Type the True airspeed for the leg.
- Enter Wind from in degrees true and Wind speed. Forecast winds aloft are already true.
- Read True heading, Ground speed and Wind correction angle, plus Head/tailwind and Crosswind. The rose shows course, wind and heading.
Worked example: from true course to compass heading
| Step | Input | Result |
|---|---|---|
| Wind Triangle | True course 090°, TAS 110 kt, wind 040° at 20 kt | True heading 082°, ground speed 96 kt, WCA 8° left |
| Components | Same leg | 13 kt headwind, 15 kt crosswind from the left |
| Magnetic & Compass | 082 °T, variation −10 (10° W), deviation +2 | 092 °M, 090 °C |
| Time · Speed · Distance | 96 kt over 120 nm | 1 h 15 min |
Variation and deviation in row three are invented for the example — pull your own variation from the isogonic line on the chart and deviation from the compass card bolted near your aircraft's compass. Magnetic & Compass takes east as positive, west as negative: "east is least, west is best," if that mnemonic has stuck for you.
How to use the E6B wind side, the analogue way
Still learning the mechanical wheel? The Analogue E6B screen simulates the wind side: turn the azimuth card with a finger to put the course under the index, then set Wind from, Wind speed and True airspeed with sliders. Same heading, ground speed and correction come out as on the digital screen, and How to use the wheel walks each step. It has 3 free opens before E6B Pro; the digital Wind Triangle has none.
Common mistakes
- Mixing true and magnetic: a true course needs a true wind. Convert to magnetic only after you have the true heading.
- Correcting the wrong way: always turn into the wind. Wind from the left means a heading less than the course.
- Using indicated airspeed instead of true airspeed at cruise altitude. Work out TAS first.
- Expecting it to find the wind: the screen solves course to heading only. It cannot work out an unknown wind from heading, track and ground speed.
When the crosswind is stronger than your airspeed, or the headwind stops you, the app shows No solution instead of a number.
Questions and answers
How do I find true heading on an E6B?
What is a wind correction angle in a hold?
Can the app find the wind from my heading and ground speed?
Is the wind triangle calculator free?
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