Can anyone decipher the word tercho?

Question

El baño no se puede construir donde usted me dijo por la altura del tercho, debe de ser en la parte de arriba o sea frente a la casa de William.

translates to English (because tercho cannot be found):

The bath cannot be constructed where said you me by the height of tercho, must of being in the part of above that is in front of the house of William.

Answer 1

Guess: techo, roof

The bath cannot be constructed where told you me because of the height of the roof. It must be in the part above, that is, in front of William's house.

Answer 2

Thank you, James. Very timely reply.

Answer 3

la altura del techo: the height of the CEILING, not the roof, James.

roof: tejado

Answer 4

where told you me s/b where you told me

Answer 5

Good catch. I copied and pasted the sentence, but didn't notice that the word order was reversed.

Heidita wrote:
la altura del techo: the height of the CEILING, not the roof, James.

Indeed. That was a complete brain freeze on my part, since I know perfectly well which is which. I should have caught it on my own, though, since roof makes no sense in this context. Thanks for pointing it out!