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

Answer:

The measure of the angle $b$ is approximately 44.040°.

Step-by-step explanation:

We need to apply Law of the Sine to determine the value of angle $b$, since the length of the side opposite to this side and another side length and its opposite angle are known. That is:

$\frac{3.6}{\sin b} = \frac{5.1}{\sin 100^{\circ}}$

$\sin b = \frac{3.6}{5.1}\times \sin 100^{\circ}$

$b = \sin^{-1}\left(\frac{3.6}{5.1}\times \sin 100^{\circ} \right)$

$b \approx 44.040^{\circ}$

The measure of the angle $b$ is approximately 44.040°.