Answer:
[tex]x = 9.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
Using law of sine, we have:
[tex]\frac{a}{sin A} = \frac{b}{Sin B}[/tex]
So, we have:
[tex]\frac{x}{sin 32} = \frac{18}{Sin 100}[/tex]
Make x the subject
[tex]x = \frac{18 * sin 32}{Sin 100}[/tex]
[tex]x = \frac{18 * 0.5299}{0.9848}[/tex]
[tex]x = 9.685[/tex]
[tex]x = 9.7[/tex] -- approximated
