29 Degree Angle

A 29° angle is classed as acute because it measures less than 90°. It is less than half of a right angle, and its complement (the angle that makes 90° with it) is 61°.

29° is 29/360 of a full circle, or 29π/180 radians. If you face north and turn 29° clockwise, you end up facing between NNE and NE (closest to north-northeast (NNE)).

29° angle facts

Trigonometric values of 29°

29° on a protractor

How to draw a 29° angle with a protractor

1. Draw a straight line with a ruler. This is the first arm; mark the vertex at one end.
2. Place the center mark of the protractor exactly on the vertex and line up the 0° baseline with your line.
3. Find 29° on the row of numbers that reads 0° on your line (protractors have two rows running in opposite directions) and make a small dot at the edge.
4. Remove the protractor and draw a line from the vertex through the dot. Mark the angle with an arc and label it 29°.

Drawing it a 29° angle without a protractor (rise and run method)

1. Draw a straight baseline and measure exactly 10 inches along it from the vertex.
2. At the 10-inch mark, draw a short line straight up at 90° (use a carpenter's square or the corner of a sheet of paper).
3. Measure 5.54 inches (about 5 9/16″) up that line and make a mark.
4. Join the mark to the vertex. The angle at the vertex is 29°, because tan 29° ≈ 0.5543.

Where you see 29° angles

• A board sloped at 29° rises about 66.5 inches over a 10-foot (120-inch) run.
• 29° of latitude on Earth spans roughly 2,002 miles north to south.
• The Earth turns 29° on its axis in about 1 h 56 min.
• Narrow acute angles like 29° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.

Related angles

• Complement: 61°
• Supplement: 151°
• Explement: 331°
• Double: 58°
• 30°
• 45°
• 60°
• 90°
• 120°