Answer:
x = 45.6
Step-by-step explanation:
NOTE: Please double-check my answer.
To find x, I used Sine Law.
[tex]\frac{x + 5}{sin65}[/tex] = [tex]\frac{x}{sin40}[/tex]
(x+5)sin40 = xsin65
xsin40+ 5sin40 = xsin65
xsin40 - xsin65 = -5sin40
x(sin40 - sin65) = -5sin40 (I factored out the "x")
x = [tex]\frac{-5sin40}{sin40 - sin65}[/tex]
x = [tex]\frac{-3.725565802}{0.74511316 - 0.826828679}[/tex]
x = 45.6
