1 Answer

Blueyed · Answer 1 · 2023-03-11T10:32:50+0000

we are asked to determine the tangent of angle S. To do that let's remember the definition of the tangent function:

$\tan s=(opposite)/(adjacent)$

Replacing the values we get:

$\tan s=\frac{3\sqrt[]{6}}{2\sqrt[]{11}}$

rationalizing the expression, by multiplying numerator and denominator by the square root of 11:

$\tan s=\frac{3\sqrt[]{6}*\sqrt[]{11}}{2\sqrt[]{11}*\sqrt[]{11}}$

Solving the operations:

$\tan s=\frac{3\sqrt[]{6(11)}}{2(11)}$
$\tan s=\frac{3\sqrt[]{66}}{22}$

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