Question

Find x A) 4 B) 4 root 2 C) 4 root 3 D) 8 root 3

Answer 1

Sin60=x/8
Sqrt (3/4)=x/8
Sqrt 4= 2
Times each side with 8
x=4sqrt(3)

Hope this can help.

Answer 2

This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.

You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.

Meaning that $2x=8$

So $x=4$

Hope this helps.

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