Question

what is the value of tan30

Answer 1

the value of tan 30° is 1/√3

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Answer 2

Draw a right triangle with a 30 degree angle
Let the side opposite the 30 degree angle be "1x".
Then by geometry we know the hypotenuse is "2x"
because " the side opposite the 30 degree angle is
one-half the hypotenuse".
Using Pythagoras you can find the 2rd side, as follows:
1^2 + x^2 = 2^2
x^2=3
x=sqrt 3
Then the tangent is opposite/adjacent = $\frac{1}{ \sqrt{3} } = \frac{ \sqrt{3} }{3}$

Ans=$\frac{ \sqrt{3} }{3}$