Use the law of Sines to find the unknown sides andor angles

Use the law of Sines to find the unknown sides and/or angles

Law of sine is a/sinA = b/sin B = c/sin C

a) d/sine 53 = 22.5/sin 59 => d = 22.5 sin53/sin59 = 20.96 cm

c) y/sin 67 = 3/sin 25 => y = 6.534 cm

e) 6.5/sin a = 5/sin 50, or sin a = 84.78 and theta = 45.32

b) 40/sin 80 = b/sin 60 = a/sin 40 => b = 35.175 cm and a = 26.11 cm

d) 45.2/sin t = 24.4/sin 29 o theta = 63.91 degrees

f) 6.7/sin 80 = 2.9/sin theta = j /sin alpha

theta = 25.23 and alpha = 74.77, j = 6.564m