Answer:
S 75°E
S 55°E
Step-by-step explanation:
Take the law if sines of a triangle:
Where,
a = 28 miles
B = 25°
b = 12 miles
First solve for A, using the law of sines:
Cross multiply:
Since A = 80.44° find A supplement, A`:
A` = 180 - 80.44
A` = 99.56°
If A` + B < 180°, find C.
Thus,
A` + B = 99.56 + 25 = 124.56
We can see that A` + B < 180
Find C:
C = 180 - (80.44+25) = 74.56° ≈ 75°
C` = 180 - (99.56+25) = 55.44° ≈ 55°
Rewrite in bearing form:
S 75°E
S 55°E