Latitude of given altitude of Sun From Question #6 of USAAAO First Round 2018


  
  (1 point) For the following problem find the range in which the answer lies: on the day of summer solstice, on which geographic latitude is the sun culminating at the angle of +72° 50' north of the equator?
  
  
  A. 0° − 15°
  B. 15° − 30°
  C. 30° − 45°
  D. 45° − 60°
  E. 60° − 75°
  
  


I have two answers: 41° and 6°, but only one is accepted. No solutions are provided for 2018 and it is an objective question.
It is a strangely worded question I agree.

I would start with the sun appearing directly overhead at the latitude of the tropic of cancer 23.5 degrees. As you go north, vertical shifts north and the Sun appears to be lower towards the horizon due south. To make the Sun appear to be at 73 Degrees from horizontal you would need to be 17 degrees north of the tropic of cancer. 23.5+17=40.5

Local differences in gravitational direction and the eccentricities of the circumference of the Earth due to the equatorial bulge make the answer a bit uncertain hence the range 

30 to 45 degrees.