Question

Solve the right triangle 50.859 cm 43.0896° B Find the measure of A. o A= (Round to four decimal places as needed.) The length of side a = cm and of side c= (Round to three decimal places as needed.) cm.

Answer 1

50.859 em from the figure it is clear that the given triangle ABC is a right neith triangle L = 900. Here given, B and LB = 43.0896 We know that the angle sum of a A + B + C = 180° b = 50.859 43.08969 a triangle as 180° => A=180 - CB+C) => A = 180°- (43.0896° +90') [<B = 43.0896° -) A = 180°-133.0896° and Leagoo 1 => A = 46.9104° C Rounding to the tour decimal places) use the sin law of triangle Now noe e al sinA simB sine e sin 46.91040 50.8 59 sin 43.0856° first two ratios we have Now , from the sin 46.9104° 50.859 sin 43.0896 50.859 x sin 46.9104° sin 43.0896 • C => rounding to three decimal places) a=54.369

Again now from the last two ratios we have 50.859 = sin 43.0896 singoo 50.859 x singoo sin 43.0896° => a = e = 74.449 crrounding to three decimal places) Theretore the required A = 46.9104° a = 54.369 em. C = 74.449 cm.