contestada

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.

Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal placesWrite only the formula down Single class=

Respuesta :

akposevictor

Answer:

44.04°

Step-by-step explanation:

We would use the Law of Sines, [tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} =\frac{sin(C)}{c} [/tex]

Applying the formula, let's find b°:

Thus:

[tex] \frac{sin(b)}{3.6} = \frac{sin(100)}{5.1} [/tex]

Cross multiply

[tex] sin(b)*5.1 = sin(100)*3.6 [/tex]

Divide both sides by 5.1

[tex] sin(b) = \frac{sin(100)*3.6}{5.1} [/tex]

[tex] sin(b) = 0.69516 [/tex]

[tex] b = sin^{-1}(0.69516) [/tex]

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