There are multiple notable individuals named Alex Cooper with different heights:

• Alexandra Cooper, the podcaster and host of "Call Her Daddy," is approximately 5'5" (165 cm) tall.

• Alex Cooper, a Scottish footballer, is about 5'11" (180 cm) tall.

• An Alex Cooper listed on IMDb (likely an actor) is reported to be 5'11½" (1.82 m) tall.

• Another Alex Cooper, a football player from University of Houston, is 6'4" tall.

If the intended Alex Cooper is the podcaster Alexandra Cooper, then she is 5'5" tall. If it is a male athlete or actor named Alex Cooper, heights vary from about 5'11" to 6'4" depending on the individual. Clarification of which Alex Cooper is intended would help provide a precise height.