Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Question

anonymous · Answer

here is the picture

anonymous · Answer

law of sines

anonymous · Answer

dont i have to use pythagoras theorem somehow?

anonymous · Answer

what is this law of sines

anonymous · Answer

you could do that too

mertsj · Answer

Do you know your special right triangles?  This one is the 30-60-90

mertsj · Answer

In this special triangle, the short leg times 2 = hypotenuse and
short leg times sqrt3 = long leg.

anonymous · Answer

i dont know what that is, maybe its because idk what it is in english but heres my try (i think its pythagoras theorem)
$$\sqrt(10^2-5^2)=\sqrt(100-25)=\sqrt(75)=\sqrt(25)\sqrt(3)=5\sqrt(3)$$

anonymous · Answer

is this right?

mertsj · Answer

Yes.  Good for you.  See...if you take the short side and multiply it by the square root of 3, you get the answer.

anonymous · Answer

math is so confusing especially since my english is somewhat meh