Answer:
b = 10
Step-by-step explanation:
We know
x^2 / (24^2) - y^2/ ( b^2) = 1
equation: directrix x = a^2 / c = 576/26
a = 24
24^2/ c = 576/26
c = 26
so a^2 + b^2 = c^2
so 24^2 + b^2 = 26^2
b^2 = 26^2 - 24^2 = 100
