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:

$\frac{\sin(90)}{5}=\frac{\sin (B)}{3}$

and we solve for B so:

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