Question

pls answer of of the parts to the question

In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle a = 22.9, b 32.7, and A-66.8° Determine the value of sin B. sin B (Round to four decimal places as needed.) How many and what type of triangle does the given information produce? Use the rounded value of sin B. O One Right Triangle O One or Two Oblique Triangles No Triangle Select the correct choice below and, if necessary, in the answer box to complete your choice O A There is only one triangle where B (Round to one decimal place as needed) OB. There are two triangles. The smaller angle is B, -The larger apol is 1,9 (Round to one decimal place as needed) OC. There is no solution Select the correct choice below and, if necessary, fill in the answer box to complete your choice

Answer 1

sing = Solution :- Given: a = 22.9 , b = 32.7, A = 66.8° Law of sine b C SinA SinB Sinc 22.9 32.7 Sin (66.89) Sin B SinB 32.7 Sin(66.8°) 22.9 1.312477 1.312427 1.3125 We know that a sine functions max. value = 1 min. Value = -1 -1 < Sino El so sin B - 1.312477 u 1.3125 is not possible. (29 No triangle SinB = sinB = (3) (4) There is no solution. There is no triangle friangle, so we can' can't determine the value of c. There is no solution.

(5) Law of cosine - COSA b2+ c²_ az 2bo Cos 66.8 = (32.7)2+2-(22.992 2 (32.7) ) c2-465-4)C) (Cos 66-8) + 544-820 e2- 25.76380 + 544-8=0 C =-(-28.7638) +f625-7638)? 4 (544-8)(1) 211) c- 25,7638 + 5663.77339-2179.2 2 25.7638 + s-1515.42661 C imaginary value •@ There is no solution.