The day is march 22. you view the noon sun to the south at an angle of 35 degrees. what is your latitude?

latitude = 55°

Explanation:

March 22 is spring equinox  sun is exactly above the equator. On equinox its is generally observed that the is equal duration of night and day.

At noon on the the angle of the sun added to its specific latitude is equal to 90°

at noon sun angle is 35 degree south

so, the latitude will be equal to    90° - 35° = 55°