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(This is the angle α opposite the "rise" side of a triangle with a right angle between vertical rise and horizontal run.) as a percentage, the formula for which is which is equivalent to the tangent of the angle of inclination times 100. In Europe and the U.S. percentage "grade" is the most commonly used figure for describing slopes.
Internal angle : 150° ... Construction of a regular dodecagon at a given circumcircle. ... These lower symmetries allows degrees of freedoms in defining irregular ...
Angle trisection is the construction, using only a straightedge and a compass, of an angle that is one-third of a given arbitrary angle. This is impossible in the general case. For example, the angle 2 π /5 radians (72° = 360°/5) can be trisected, but the angle of π /3 radians (60°) cannot be trisected. [8]
The azimuth is the angle formed between a reference direction ... i.e. the bearing 150 degrees clockwise from north. The reference direction, stated first, is always ...
The next construction is originally due to Archimedes, called a Neusis construction, i.e., that uses tools other than an un-marked straightedge. The diagrams we use show this construction for an acute angle, but it indeed works for any angle up to 180 degrees. This requires three facts from geometry (at right):
All internal angles are 120 degrees. ... of two lengths have a 150° angle between them. ... a hexagon with interactive animation and construction with compass and ...
For example, an angle of 30 degrees is already a reference angle, and an angle of 150 degrees also has a reference angle of 30 degrees (180° − 150°). Angles of 210° and 510° correspond to a reference angle of 30 degrees as well (210° mod 180° = 30°, 510° mod 180° = 150° whose supplementary angle is 30°).
Compared with the first animation (with green lines) are in the following two images the two circular arcs (for angles 36° and 24°) rotated 90° counterclockwise shown. They do not use the segment C G ¯ {\displaystyle {\overline {CG}}} , but rather they use segment M G ¯ {\displaystyle {\overline {MG}}} as radius A H ¯ {\displaystyle ...