Answer:
Step-by-step explanation:
Let's use Law of Sines to find angle X
recall Sin(A) / a = Sin(B) / b
where A = 118 and a = 30 m
X = B and b = 18 m
then
Sin(118) / 30 = Sin(B) / 18
0.0294315 = Sin(B) / 18
18 * 0.0294315 = Sin(B)
0.529768 = Sin(B)
arcSin(0.529768) = arcSin(Sin(B) )
31.9898 = B
x =32°
then since we know 2 of the 3 angles inside the triangle and we know they add to 180 , then
180 = 118 +32 + y
30 = y
y = 30°
Let's use law of Sines once more to find side z
so Sin(A) / a = Sin(B) / b
where A= 30 and a = z
and B = 118 and b = 30
( notice how I reassigned things for this new problem ? )
Sin(30) / z = Sin(118) / 30
0.5 / z = 0.0294315
0.5 / 0.0294315 = z
16.988 = z
z = 17 m
You are done, for now. Hope this is helping you "get this" :)
