#1**+2 **

The two sides of the smaller triangle (on the right) opposite x are equal lengths. (it is a 45-45-90 triangle)

Now for the larger , left triangle:

sin 30 = opp/hyp

1/2 = opp/8 opp = 4

Now use the Pythagorean theorem to find x

x ^2 = 4^2 + 4^2 x= 5.66 units

ElectricPavlov Mar 3, 2018