Question

What is the exact value of x

Answer 1

The value of x is 30 degrees.

Explanation:

We know that angle 1 is 60 degrees, and that angle two is a right angle (meaning 90 degrees.) 60+90 is equal to 150 degrees. 180 degrees - 150 degrees is equal to 30 degrees. I hope this helps! :)

Answer 2

`~~~~~~\sin \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\\\implies \sin 60^(\circ) = (x)/(8)\\\\\\\implies x = 8 \sin 60^(\circ)\\\\\\\implies x = 8 \cdot \frac {\sqrt3}2\\\\\\\implies x = 4\sqrt 3`