Answer
d) is correct.
Work Step by Step
The angle subtended by the moon is $$\theta_{moon}=\frac{d_{moon}}{r_{moon}}$$
The diameter of the moon $d=3.48\times10^6m$ and the distance between the earth and the moon is $r=3.85\times10^8m$
$$\theta_{moon}=9.04\times10^{-3}rad$$
Similarly, the angle subtended by the pea and the dime is $$\theta_{pea}=\frac{d}{r}=\frac{0.5cm}{71cm}=7.04\times10^{-3}rad$$ $$\theta_{dime}=\frac{d}{r}=\frac{1.8cm}{71cm}=2.54\times10^{-2}rad$$
Because $\theta_{dime}\gt\theta_{moon}$ but $\theta_{pea}\lt\theta_{moon}$, only the dime completely covers your view of the moon.
