Question

Trigonometry Written Homework 10: 7.1-7.2 Textbook Problems (20 points): p. 349 #3, 5, 9-10 Graded Problems (80 points): 1. Solve the triangle ABC (find angles and sides) for each triangle that exists. A = 100.2°, B = 25.0°, a = 165 m 2. Solve the triangle ABC (find angles and sides) for each triangle that exists. B = 40°, a = 30 m, and b = 24 m

Answer 1

① giren that A = 100.2°, B = 25°, a = 165m b ' sum of angle =180° A+B+C = 180° C = 180'-100.2-25 4 Ke= 54.80] So using sine laars SinB = sina > b= 165 sin(250) sin (1002) b = 70.85 m b = 70.85 m a su come sina 1 c = 165 sin (54.8") sin (1002) Le = 137m so angle c= 54.80 side b= 70.85m C = 137 m

J B=40', a = 30m, b=24m so using sine laars S sin(a) sin(B) ab * sin(A) = 30 sin(40) sinA =0.80348 A = sin (0.80348) A = 53.5° a. Sum of angles of triangle is 180* : A+B + c = 180° c=180°- 53.5*~40° <C= 86.5° again using sine laars since - sina > c= 3osin 186.5) sin (53.5') [C= 37.25m so angle A = 53.5', c=86.5"; sidé c = 37.25m