Answer:
(a) dime
Explanation:
Convert all to metric unit:
0.5 cm = 0.005 m
1.8 cm = 0.018 m
71 cm = 0.71 m
In order to find out we would need to calculate the ratio R between the object diameter d and their distance s to our eyes:
[tex]R_m = \frac{d_m}{s_m} = \frac{3.48*10^6}{3.85*10^8} \approx 0.009[/tex]
[tex]R_p = \frac{d_p}{s_p} = \frac{0.005}{0.71} \approx 0.007 [/tex]
[tex]R_d = \frac{d_d}{s_d} = \frac{0.018}{0.71} \approx 0.0253 [/tex]
Since the ratio of the dime is larger than the ratio of the moon, and the ratio of the pea is smaller than the ratio of the moon, only the (a) dime can cover your view of the moon.