Use the Law of Sines to find mZE.
Round to the nearest degree.
D
30 mi
18 mi
78°
F
E
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Answer:
Step-by-step explanation:
recall law of Sines : Sin(A) / a = Sin(B) / b
where F can be A, in above equation, and then a = 30
we want to find E so that can be B, and b = 18
Sin(78) / 30 = Sin(B) / 18
solve the parts you can
0.03260 = Sin(B) / 18
18 * 0.03260 = Sin(B)
0.5868885 = Sin(B)
use arcSin() to find angle of B
arcSin(0.586885) = arcSin( Sin(B)) [ b/c arcSin is the inverse of Sin those go away, they cancel each other out ]
35.9365 = B
36° = B ( and B = E in the given triangle )
∠E = 36°