The formula for the Numerical Aperture (NA) is:
\[
NA = n \times \sin(\theta)
\]
Where:
- \(n = 1.50\) is the refractive index of the immersion oil,
- \(\theta = 58^\circ\) is the half aperture angle.
Substitute the known values:
\[
NA = 1.50 \times \sin(58^\circ) = 1.50 \times 0.85 = 1.3
\]
Thus, the Numerical Aperture is \(1.3\).