Answer:
[tex]x = \sqrt 6[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
Considering angle 30 degrees,
[tex]Opposite = \sqrt{2[/tex]
[tex]Adjacent = x[/tex]
Using the tangent formula:
[tex]tan\ 30 = \frac{\sqrt 2}{x}[/tex]
Make x the subject
[tex]x = \frac{\sqrt 2}{tan\ 30}[/tex]
[tex]x = \frac{\sqrt 2}{1/\sqrt 3}[/tex]
[tex]x = \sqrt 2 * \sqrt 3[/tex]
[tex]x = \sqrt 6[/tex]
