Answer:
x = 150
D
Explanation:
1 / tan(90 - x) = -√3/3 Cross multiply
3 = -√3 * tan(90 - x) Divide by -√3
3/-√3 = tan(90 - x) Rationalize the denominator
3 * √3 / (- √3 * √3 ) =tan(90-x)
3 * √3 / - 3 = tan(90 - x) Divide
- √3 = tan(90 - x) Take the inverse tan of -√3
tan-1(-√3) = 90 - x
-60 = 90 - x Add x to both sides.
x - 60 = 90 Add 60 to both sides
x = 150