Answer:
r = 6.4/(1+sin(θ))
Step-by-step explanation:
As the attachment shows, for the given directrix and eccentricity, the equation is ...
[tex]r=\dfrac{ed}{1+e\sin{\theta}}\\\\r=\dfrac{1.6\cdot 4}{1+1.6\sin{\theta}}\\\\\boxed{r=\dfrac{6.4}{1+\sin{\theta}}}\qquad\text{matches the 2$^{\text{nd}}$ choice}[/tex]
