Question

A is 3 cm C is 4 cm B is 5 cm What is the degrees of B. Round answer to one decimal place.

Answer 1

The segment AB is:

`\sqrt[]{3^2+4^2}=5`

So now we can use the sin law to calculate the angle B so:

`(\sin(90))/(5)=(\sin (B))/(3)`

and we solve for B so:

`\begin{gathered} \sin ^(-1)((3)/(5))=B \\ 36.9º=B \end{gathered}`