Question

Find the value of x. Round to the nearest tenth. What does x equal?

Answer 1

ANSWER :

x = 8.5

EXPLANATION :

Using sine law :

$\frac{\sin A}{a}=\frac{\sin C}{c}$

A = 28 degrees

a = x

C = 83 degrees

c = 18

The value of x will be :

$\begin{gathered} \frac{\sin28}{x}=\frac{\sin83}{18} \\ \\ \text{ Cross multiply :} \\ \\ 18\sin28=x\sin83 \\ \\ x=\frac{18\sin28}{\sin83}=8.51\sim8.5 \end{gathered}$