as we know that
[tex]a \delta x = 1.22\lambda L[/tex]
here we know that
a = distance of two sources = 28 km
[tex]\Delta x [/tex] = diameter of dish
[tex]\lambda = 3.6 cm[/tex]
L = 1200 km
now from above equation
[tex]28 \delta x = 1.22 \times 0.036 \times 1200[/tex]
[tex]\delta x = \frac{1.22\times 0.036 \times 1200}{28}[/tex]
[tex]\delta x = 1.88 m[/tex]
so diameter will be 1.88 m