Question 1079795
These are two equations you should have in your notes, on a notecard, or some reference sheet. 


Ideally you should memorize them


{{{x = r*cos(theta)}}}
{{{y = r*sin(theta)}}}


We will use the second equation.


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{{{y = r*sin(theta)}}} Start with the equation mentioned above


{{{4 = r*sin(theta)}}} Plug in y = 4


{{{r*sin(theta) = 4}}} Flip the equation


{{{(r*sin(theta))/(sin(theta)) = 4/(sin(theta))}}} Divide both sides by sin(theta)


{{{r = 4/(sin(theta))}}} Simplify (note: sin(theta) can't be equal to 0)


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The final answer is <font color=red>choice D</font>