Question

use the quadratic formula...

Answer 1

so using the quadratic formula of
$$\bf
sin(x)= \cfrac{ -(-34) \pm \sqrt { (-34)^2 -4(75)(3)}}{2(75)}\\
sin(x) = 0.33333333333333333333, sin(x) =0.12\\
sin^{-1}(sin(x)) = sin^{-1}(0.33333333333333333333) \implies x = 19.47122063449069136904^o\\
sin^{-1}(sin(x)) = sin^{-1}(0.12) \implies x = 6.89210257934638012332^o
$$

Answer 2

it's really just a matter of plugging in your "a" "b" and "c" components

Answer 3

@jdoe0001
these are the answer choices though:
x=0.116, 0.311
x=0.118, 0.322
x=0.120, 0.340
x=0.122, 0.358
x=0.124, 0.369

Answer 4

well, if you don't want the angle itself, just the sine value, then check above
sin(x)=0.33333333333333333333 => 0.34
sin(x)=0.12