SOLUTION: Solve the following practical application. Provide a systematic solution with illustrations A geodetic engineer wishes to find the distance across a river from point A to B. H

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Question 1194936: Solve the following practical application. Provide a systematic solution with
illustrations
A geodetic engineer wishes to find the distance across a river from point A to B. He finds that the distance from A to a point C on the same side of the river is 200 meters and the angles BAC and BCA are 59°23’ and 48°17’, respectively. Find the distance AB.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!



We will use the law of sines:

b%2Fsin%28B%29%22%22=%22%22c%2Fsin%28C%29

b = 200
sin(C) = sin(48o17') = 0.746444643

But we need angle B:

angle B = 180o - 59o23' - 48o17' = 72o20'

sin(B) = sin(72o20') = 0.9528381993

200%2F0.9528381993%22%22=%22%22AB%2F0.746444643

0.9528381993%2AAB%22%22=%22%22200%2A0.746444643

0.9528381993%2AAB%22%22=%22%22149.2889286

AB%22%22=%22%22156.6781524

Edwin