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

B.
`√(3)`

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=(opposite)/(adjacent)`

i.e.
`\tan 30=(opposite)/(3)`

i.e.
`opposite= 3 * \tan 30}`

i.e.
`opposite= 3 * (1)/(√(3))`

i.e.
`opposite=√(3)`

So, the length of the side opposite to 30° angle is
`√(3)`.

Hence, option B is correct.