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LESSONS · NAVIGATION · 15 MINUTES · AUSTRALIA AND NZ

The wind triangle.

The air you fly through is moving. To follow a line on the map you point the nose a little into the wind, and the wind speeds you up or slows you down over the ground. The wind triangle shows by how much.

PREDICT FIRST

You plan a track of 090°T at a true airspeed of 120 kt. The wind is from 045°T at 40 kt. What true heading does the wind triangle give?

Two movements, added together

The aircraft moves through the air at its true airspeed (TAS). The air moves over the ground with the wind. Where you end up after an hour is the two added together.

Actually, these two motions are independent. It makes no difference whether the mass of air through which the aircraft is flying is moving or is stationary.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Effect of Wind

A wind is named for the direction it blows from, but it carries you the other way.

When the wind is blowing from the north at 25 knots, it simply means that air is moving southward over the Earth’s surface at the rate of 25 NM in 1 hour.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Effect of Wind

A wind blowing straight along your track adds its full speed, or takes it away.

If the mass of air is moving eastward at 20 knots, the airspeed of the aircraft is not affected, but the progress of the aircraft over the ground is 120 plus 20 or a GS of 140 knots.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Effect of Wind

Heading, track and drift

The direction in which the aircraft is pointing as it flies is called heading. Its actual path over the ground, which is a combination of the motion of the aircraft and the motion of the air, is called track. The angle between the heading and the track is called drift angle.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Effect of Wind

Point the nose straight along your planned track with a wind from the left, and the air carries you to the right of it. After an hour you are as far off track as the air has moved across it.

Assuming no correction is made for wind effect, if an aircraft is heading eastward at 120 knots and the air mass moving southward at 20 knots, the aircraft at the end of 1 hour is almost 120 miles east of its point of departure because of its progress through the air. It is 20 miles south because of the motion of the air.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Effect of Wind

To stay on the planned track, point the nose into the wind by just enough to cancel the drift. That angle is the wind correction angle.

In other words, if the wind is from the left, the correction is made by pointing the aircraft to the left a certain number of degrees, therefore correcting for wind drift. This is the wind correction angle (WCA) and is expressed in terms of degrees right or left of the TC.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Effect of Wind

Drawing the triangle

The FAA handbook draws the triangle with three lines. Each is as long as its speed for one hour:

  1. The wind arrow, from the start point, pointing the way the wind blows.
  2. The airspeed line, from the end of the wind arrow, as long as your TAS, swung until it meets the planned track. Its direction is your heading.
  3. The line from the start point to where they meet. Its direction is your track, and its length is your groundspeed.

Next, align the ruler with E and the dot at 45°, and draw the wind arrow from E, not toward 045°, but downwind in the direction the wind is blowing making it 40 units long to correspond with the wind velocity of 40 knots.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Wind Triangle or Vector Analysis, step 3

All three lines use one scale, so a knot is the same length on each of them.

The units used may be of any convenient scale or value (such as ¼ inch = 10 knots), but once selected, the same scale must be used for each of the linear movements involved.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Wind Triangle or Vector Analysis, step 4

TRY IT

Drag the wind and solve the triangle

The diagram turns so your planned track always points right, and the N arrow shows north. Lines are drawn to scale for one hour. The wind and airspeed stay steady for the whole hour.

Start1 hour

Drag the round handle at the end of the wind arrow, or use the sliders. On the handle, the left and right arrow keys turn the wind, and up and down change its speed.

Point the nose
Heading
076°T
Groundspeed
88 kt
Wind correction
14° left

The nose points 14° left of the track, into the wind, and the aircraft crabs along the planned track.

Try a wind

What the triangle shows

In the handbook example, the line from the start to the meeting point measures 88 kt.

The distance flown in 1 hour (GS) is measured as the numbers of units on the TC line (88 NMPH or 88 knots).

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Wind Triangle or Vector Analysis

PREDICT FIRST

Your TAS is 120 kt and a 20 kt wind blows straight across your track. Once you correct for the drift, what is your groundspeed?

PREDICT FIRST

Same 20 kt wind straight across your track, but now your TAS is 60 kt instead of 120 kt. What happens to the wind correction angle?

With the wind speed at zero, the triangle folds flat into one line.

If there is no wind, the aircraft’s ground track is the same as the heading and the GS is the same as the true airspeed.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Wind Triangle or Vector Analysis

From true heading to the compass

Here the track and the wind are both true directions, so the heading the triangle gives is true. Two more corrections turn it into the heading you steer by.

After obtaining the TH, apply the correction for magnetic variation to obtain magnetic heading and the correction for compass deviation to obtain a compass heading.

FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25C), chapter 16, Wind Triangle or Vector Analysis

The flight computer solves the same triangle from typed numbers, applies variation for a magnetic heading, and shows the working.

Lock it in.

397 Australian and 365 New Zealand practice questions on navigation. The ones you miss come back sooner.

SOURCES FOR THIS LESSON

Source-checked, awaiting pilot review. Learning only. Your aircraft's flight manual and your instructor come first. Sources and licences