Question

Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.

Answer 1

44.04°

Explanation:

We would use the Law of Sines,
`(sin(A))/(a) = (sin(B))/(b) =(sin(C))/(c)`

Applying the formula, let's find b°:

Thus:

`(sin(b))/(3.6) = (sin(100))/(5.1)`

Cross multiply

`sin(b)*5.1 = sin(100)*3.6`

Divide both sides by 5.1

`sin(b) = (sin(100)*3.6)/(5.1)`

`sin(b) = 0.69516`

`b = sin^(-1)(0.69516)`

b = 44.0399685° ≈ 44.04° (2 decimal places)