Question

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

be rounded to the nearest whole number.

Answer 1

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" :)