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

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

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:

`(3.6)/(\sin b) = (5.1)/(\sin 100^(\circ))`

`\sin b = (3.6)/(5.1)* \sin 100^(\circ)`

`b = \sin^(-1)\left((3.6)/(5.1)* \sin 100^(\circ) \right)`

`b \approx 44.040^(\circ)`

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