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Find the length of side x in simplest radical form with a rational denominator.

Find the length of side x in simplest radical form with a rational denominator.-example-1
User JSN
by
6.8k points

1 Answer

3 votes

Answer:


x = (2*√(3))/(3)

Explanation:

Reference angle = 30°

Opposite side = x

Adjacent side = 2

Apply the tan trigonometric function, thus:


tan (30) = (opp)/(adj)


tan (30) = (x)/(2)


2 * tan (30) = x


2 * \frac{1}{sqrt{3}} = x (tan 30 = 1/√3)


\frac{2}{sqrt{3}} = x

Rationalize


\frac{2* √(3)}{sqrt{3} * √(3)} = x


(2*√(3))/(3) = x

User Anton Makeev
by
6.2k points
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