Plane And Spherical Trigonometry

Cover Plane And Spherical Trigonometry
Plane And Spherical Trigonometry
Conant Levi Leonard
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From a ship the bearings of two objects were found to - be N.N.W. and N.E. by N., respectively. After sailing due east 10 miles the two objects were in a line bearing W.N.W.
How far apart were the objects ?
Note. For an explanation of the term "bearing," and for instruction in reading angles by means of the compass, see p. 176.
20. From a ship a lighthouse bears N. 21° 12' E. After the ship has sailed S. 25° 12' E. 2J miles the lighthouse bears due north. Find the distance of the lighthouse fro
...m the last point of observation.
^ 100. Case 2. Given two sides and the angle opposite one of them. Let the given parts be the sides a and J, and the angle A, The required parts can be found in the following manner : By the law of sines sin 5 6 • T> J sin A ^^^ -: — - = -, .•.sin^ = (1) sm ^ a a From this equation the angle B can be found.
Then, (7= 180° -(^ + 5).
Also, £ = 5llLg, .... = ^4HLg. (2) a sin A sin A In solving for the angle opposite the second side, in this case the angle jB, it is to be noted that two solutions are pos- sible, since the sines of supplementary angles are equal (Art.


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