Inspirational 13+ Jason Momoa Emilia Clarke Height. What is the height difference between him and jason momoa, 40, played khal drogo on hbo's game of thrones, opposite emilia clarke, who played daenerys targaryen. He started his career as a model in 1998 after getting discovered by an international designer takeo. To help visualize her height, we've included a side by side comparison with other celebrities, short and tall! Help us build our profile of jason momoa and emilia clarke!