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RF2_12C_Preview ~ RF2_12C_Preview score: 2/9 1/6 answered Question 3 . magine two boaters rowing away from each other at an angle of 80 .If rower your work and round your answer to the nearest tenth of a mile. Hint Sometimes it may appear that there are two possible solutions, but one can be eliminated q er: 1 miles apart observation that the longest side is always across from the greatest angle, and the shortest side is Work: from the smallest angle. Example: Find the remaining sides and angles of the triangle ABC, with B = 470, b = 18 m, and c = 16 m. Round your answers to one decimal place. Solution: Using the law of sines vestion Help: Message instructor - implies sin C = csin B sin _ 16 sin(47") ~0.650. 18 Here, it seems that we may have two solutions: C1 = sin '(0.650) ~ 40.5490 and C2 - 180 - sin '(0.650) ~ 139.451 Putting these possibilities into tabular form, we obtain A2 a a2 ~ B = 47 6 = 18 m OR B - 47 % b = 18 C1 ~ 40.5 c = 16m C2 ~ - 139.5 c = 16 :" Reflect in ePortfolio Without any further calculations, we can see that C2 ~ 139.5" is not feasible; side b is longer than side c, but angle B is smaller than angle C2. (If we were to continue solving the problem, we would get a negative value for angle A2, confirming that this second solution is Let's finish solving the first triangle with C1 ~ 40.5. since the sum of the three angles must equal 180, A1 = 180 - B - C1 ~ 180 - 47 - 40.5490 ~ 92.4510 . We use the law of sines to find a1 : Question 1 - sin Al sin B ' so a1 = bsin A1 ~ 18 sin(92.451 ) ~ 24.589. sin B sin (479) The only solution is Use the information given in the diagram to determine the unknown angle and side lengths. This A1 ~ 92.50 al ~ 24.6 m process is sometimes called "solving the triangle, " Round youknow triangle." Round your answers to the nearest tenth and B = 470 b - 18m express your angle measures in degrees. C1 ~ 40.5 - 16 m Part 1 of 2 Find the remaining sides and angles of the triangle ABCABC, with A - 30 . A - 30, a - 8a = 8 in And 6 - 6b = 6 in. Round your answers to one decimal place. Number of triangles:[ Part 2 of 2 Hint 6 - [ Triangle Measures Values a 6.2 b 3.9 C Question Help: Message instructor MLA 90 Calculator m /B Submit Question m/C Question Help: Message instructor Calculator Submit Question es PhotoG
