To determine which of the options is a letter in the Spanish alphabet, we can analyze each given option:
a. [tex]$\tilde{ A }$[/tex]: This symbol represents an 'A' with a tilde on top. In the Spanish alphabet, the letter 'ñ' includes a tilde, but 'ã' (A with tilde) is not part of the Spanish alphabet.
b. [tex]$\hat{E}$[/tex]: This symbol represents an 'E' with a circumflex accent (ˆ) on top. This is not a part of the Spanish alphabet. Spanish does have accented vowels like é, but a circumflex is not used in the Spanish language.
c. [tex]$\tilde{ N }$[/tex]: This is the letter 'N' with a tilde, which represents 'ñ'. 'Ñ' (eñe) is indeed a distinct letter in the Spanish alphabet, representing a unique sound.
d. [tex]$\tilde{O}$[/tex]: This symbol represents an 'O' with a tilde. Spanish alphabet does not have an 'O' with a tilde character.
So, the correct answer that is a letter in the Spanish alphabet is:
c. [tex]$\tilde{ N }$[/tex], which corresponds to the character 'ñ'.