1 Answer

Andrew Gies · Answer 1 · 2022-05-11T07:26:24+0000

Answer:

$x = \sqrt 6$

Explanation:

Given

The attached triangle

Required

Find x

Considering angle 30 degrees,

$Opposite = \sqrt{2$

Adjacent = x

Using the tangent formula:

$tan\ 30 = (\sqrt 2)/(x)$

Make x the subject

$x = (\sqrt 2)/(tan\ 30)$

$x = (\sqrt 2)/(1/\sqrt 3)$

$x = \sqrt 2 * \sqrt 3$

$x = \sqrt 6$

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