Applications of the skinny triangle occur in any situation where the distance to a far object is to be determined.This can occur in surveying, astronomy, and also has military applications.…

This can occur in surveying, astronomy, and also has military applications.The skinny triangle is frequently used in astronomy to measure the distance to solar system objects.…

The proof of the skinny triangle solution follows from the small-angle approximation by applying the law of sines.

This baseline is usually very long for best accuracy; in principle the stations could be on opposite sides of the Earth.However, this distance is still short compared to the distance to the object being measured (the height of the triangle) and the skinny triangle solution can be applied and still achieve great accuracy.The alternative method of measuring the base angles is theoretically possible but not so accurate.…

The base angles are very nearly right angles and would need to be measured with much greater precision than the parallax angle in order to get the same accuracy.The same method of measuring parallax angles and applying the skinny triangle can be used to measure the distances to stars; at least the nearer ones.In the case of stars however, a longer baseline than the diameter of the Earth is usually required.…

The solution is particularly simple for skinny triangles that are also isosceles or right triangles: in these cases the need for trigonometric functions or tables can be entirely dispensed with.The skinny triangle finds uses in surveying, astronomy and shooting.…

For instance, two arcseconds corresponds to a distance of and 0.5 arcseconds corresponds to a distance of two parsecs.The skinny triangle is useful in gunnery in that it allows a relationship to be calculated between the range and size of the target without the shooter needing to compute or look up any trigonometric functions.Military and hunting telescopic sights often have a reticle calibrated in milliradians, in this context usually called just mils or mil-dots.…