Question

Law of Sines Round to the nearest degree.

Answer 1

Explanation:

recall law of Sines Sin(A) /a = Sin(B) / b

for this question

F = A = 105 and a = 37

E = B and b = 28

then plug those into our law of Sines equations

Sin(105) / 37 = Sin(B) / 28

0.025846 = Sin(B) / 28

28 * 0.025846 = Sin(B)

0.72369 = Sin(B)

arcSin(0.72369) = arcSin ( Sin ( B ) )

46.3599 = B

E = 46° ( rounded to the nearest degree)