Answer with Step-by-step explanation:
See answers in underlined bold fonts.
Law of Sine:
a/sinA = b/sinB = c/sinC
Given:
- b=16 in; B=50°
- c=11 in; C=?
- a=? ; A=?
Find C:
b/sinB = c/sinC
16/sin(50) = 11/sinC
Cross multiply:
sinC = [sin (50) (11)] / 16
sin C = [(0.766)(11)]/16
sin⁻¹ C= 0.526625
C = 31.779
C = 32°
Find A: The sum of interior angles is 180°.
A = 180° - (50 + 32)°
A = 180° - 82°
A = 98°
Find a:
a/sinA = 16/sin50
a = [(sin(98))(16)]/sin50
a = [(0.990)(16)]/0.766)
a = 20.67
a = 21 in
Please see attached photo for the illustration of the triangle with sides and angles measures.
