Question

In the triangle below, what is the length of the side opposite the 30° angle?

Answer 1

THIS IS A 30 -60 -90 TRIANGLE
THE HYPOTENUSE IS TWICE AS LONG AS THE SHORTER LEG
IF THE LONGER LEG IS 3
THE SHORTER LEG IS √3
CHOICE B 

Answer 2

Answer:

B. $\sqrt{3}$

Step-by-step explanation:

We are given a right angled triangle having length of one side to be 3.

Now, we know that in a right angled triangle,

$\tan x=\frac{opposite}{adjacent}$

i.e. $\tan 30=\frac{opposite}{3}$

i.e. $opposite= 3 \times \tan 30}$

i.e. $opposite= 3 \times \frac{1}{\sqrt{3}}$

i.e. $opposite=\sqrt{3}$

So, the length of the side opposite to 30° angle is $\sqrt{3}$.

Hence, option B is correct.