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The angle of the intersection with the green plane is the red plane's apparent dip in the northward direction . When measuring or describing the attitude of an inclined feature, two quantities are needed. The angle the slope descends, or dip, and the direction of descent, which can be represented by strike or dip direction. [4]
The angle θ = ε + 90° is used for a mathematical description in a spherical coordinate system. For the approximation of a flat earth – which is usual for airborne radar with short to medium range – the grazing angle and the depression angle can be assumed to be equal γ = ε and the incident angle is β = 180° – θ.
Fig. 3 – Applications of the law of cosines: unknown side and unknown angle. Given triangle sides b and c and angle γ there are sometimes two solutions for a. The theorem is used in solution of triangles, i.e., to find (see Figure 3): the third side of a triangle if two sides and the angle between them is known: = + ;
Two sides and the included angle (SAS, side-angle-side) Two sides and an angle not included between them (SSA), if the side length adjacent to the angle is shorter than the other side length. A side and the two angles adjacent to it (ASA) A side, the angle opposite to it and an angle adjacent to it (AAS).
A depression position finder measured the range to a distant target (such as a ship) by solving a right triangle in which the short side was the height of the instrument above mean low water; one angle was the constant right angle between the short side and the plane of the ocean, and the second angle was the depression angle from the horizontal of the instrument as it sighted down from a fire ...
Determining the angle of the Earth's magnetic field with respect to the horizontal plane. Showing a deviation from the true vertical or horizontal. Surveying, to measure an angle of inclination or elevation. Alerting an equipment operator that it may tip over. Measuring angles of elevation, slope, or incline, e.g. of an embankment.
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In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.