Question

@Brill

Answer 1

@welshfella

Answer 2

sin 30 = y/3

can you find y ?

Answer 3

You have a famous triangle.
If two angles are 30 and 90 deg, what is the third angle?

Answer 4

60

Answer 5

Correct.
You have a 30-60-90 degree triangle.
In a 30-60-90 degree triangle, the ratio of the lengths of the sides is

\(1~:~\sqrt 3~: 2\)

Answer 6

Also, notice that this is a right triangle.
In a right triangle, the hypotenuse is always the longest side.
The hypotenuse is opposite the right angle.
Then the next longest side is the leg opposite the 60-deg angle.
The shortest side is the leg opposite the 30-deg angle.