Trigonometry
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Trigonometry Reference Home Back to Thinkquest Contents
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Definitions of Trigonometric Functions Trigonometric Functions of Sums and Differences Inverse Trigonometric Functions
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Application Problem
Use the given information to solve the triangle below.
Solution: To solve a triangle, you need to find all the lengths of the sides and all the angles. The degrees of <A and <B was given to us and the length of side a. With this information we can use the Law of Sines to find out the blanks. Since <A + <B + <C equal 180°, we can find <C. 30° + 100° + <C = 180° <C = 50° SinA/a = SinB/b Sin30°/5 = Sin100°/b 0.1 = 0.98481/b b = 9.85 SinA/a = SinC/c Sin30°/5 = Sin50°/c 0.1 = 0.76604/c c = 7.66 Answers: <A = 30° <B = 100° <C = 50° a = 5 b = 9.85 c = 7.66
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