Question

two parts to question

Determine the remaining sides and angles of the triangle ABC. A B C A- (Round to the nearest degree as needed.) be (Do not round until the final answer. Then round to the nearest hundredth as needed.) CR (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answer 1

Given: LB = 42°, LC r67", Q.7 Sum of Triangle Angle = 180° 67 a=7m b LA + LB + LC 2180 LA +42 +67 = 180 B A LA= 180-42-67 LA - By sine Rules SinA CL sing b sinc SinA sinB b b = a sing Sinn Isin42 sint 4.9538 4.95 m SMA Sinc a asins SinA I sin 67 sinau 6.9148 6.81 Hencu 719 b = 4.95 6.81

6 Tan 3x = 6 Tan 3x = colo Ton 3 x = 1 Tan3y = 4 General son: 3x = na + K 4 when no 3x = 4 when 3x = Ã Ã 4 51 4 when ne2 3x = 25 t kh 3y 11 SA 4 X = 3 when no 3 3x = 3Ãt n + 3 X - 13 4 13 12

n - 4 3x = 4 Kft 4. 3x = IFK 4 - 171 12 nas 3x = SA + 3x = 210 4 7 n= 6, 3x = SA+ л 4 3x = 25 4. 25 42 Not acceptable because This is out side the heberval [0,20 ) Hence o soluton 50 42 2л 135 12 12 FA 4 }

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