The altitude at which the celestial equator intersects your local meridian is the complement

of your latitude, i.e. the difference between your latitude and 90 degrees.

On the equator: Your latitude is zero. (90 - 0) = 90. Celestial equator passes overhead.

At the pole: Your latitude is 90. (90 - 90) = 0. Celestial equator coincides with the horizon.

In New Orleans, Louisiana, or Durban, South Africa: Your latitude is 30. (90 - 30) = 60.

Celestial equator intersects local meridian at 60 degrees above the horizon.