Answer:
56.3 =c
44.1 =a
Explanation:
Using the law of sines
sin 102 sin 28
---------- = ----------
c 27
Using cross products
27 sin 102 = c sin 28
Divide by sin 28
27 sin 102
------------ = c
sin 28
56.25470702= c
Rounding to the nearest tenth
56.3 =c
To find a
We need Angle A
A = 180 - 102 -28
A = 50
sin 50 sin 28
---------- = ----------
a 27
Using cross products
27 sin 50 = a sin 28
27 sin 50
------------ = a
sin 28
44.0563425= a
Rounding to the nearest tenth
44.1 =a