Most exalted position in the House (4-3)

'most exalted position' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'the house' is the wordplay.
I cannot really understand how this works, but
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is found within the answer.
'house' could be 'roof' (I've seen this before) and 'roof' is found within the answer.
The remaining letters 'op' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

'in' is the link.

Can you help me to learn more?