Engineering Board Exam Reviewer · Solutions to Oblique Triangles · easy
EE Board October 1997: The two legs of a triangle are 300 and 150 m each, respectively. The angle opposite the 150 m side is 26°. What is the third side?
- 197.49 m
- 218.61 m
- 341.78 m
- 282.15 m
Answer
C. 341.78 m
Solution
Using the Law of Sines with the given sides (300 and 150) and the angle 26° opposite the 150 side: A=300 26°/150=2 26° 0.8768, giving A 61.15° (taking the obtuse-C branch), so C=180°-26°-61.15° 92.85°. The third side is c=150 92.85°/ 26° 341.78 m.
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