Question

Solve for X, Leave in simplest radical

Answer 1

32

Explanation:

`8√(3)` is opposite to the 60 degree angle

The side opposite to the 60 degree angle =
`√(3)` times the side opposite to the 30 degree angle.

Side opposite to the 30 degree angle = 8

Leg opposite to the 30 degree angle theorem states that the side opposite to the 30 degree angle is half of the hypotenuse.

Hypotenuse = 16

In the big triangle, 16 is the side opposite to the 30 degree angle, which means it is half of the hypotenuse (big triangle).

Hypotenuse of the big triangle = x = 32

Hope this helps :)

Have a great day!