Question

Solve the triangle (find all three missing measurements). All responses should

Answer 1

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"  :)