Question

Find the length of $YZ$ in the above figure, if the length of $XY$ is $48$ (in standard units).

• A. $16.4$
• B. $70.8$
• C. $95.1$
• D. $118.0$
• E. $140.3$

Answer 1

The correct option is E $140.3$

Given, angle $X$ is $156$ ,

So, we get

$\Rightarrow 2a+a=3a=180-156$
$\Rightarrow a=8$ degrees
By sine rule , we get $\frac{XY}{\sin 8}=\frac{YZ}{\sin 156}$
$\Rightarrow YZ=48\times \frac{\sin 156}{\sin 8}=140.3$