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Jeff plays along, his tough-guy tone pitched somewhere between Robert Mitchum and Dana Andrews. “Put Miss Carpenter on the horn. I need to talk to her pronto.”
“Miss Carpenter is busy with an important case. May I take a message?”
“Yeah,” Jeff says. “Tell her my flight from Chi-Town has been delayed.”
My façade drops. “Oh, Jeff. Really?”
“Sorry, hon. The perils of flying out of the Windy City.”
“How long is the delay?”
“Anywhere from two hours to maybe-I’ll-be-home-by-next-week,” Jeff says. “I’m at least hoping it’s long enough for me to miss the start of Baking Season

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Please tell us the source and author of the quoted text.

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Hasibul Alam What is the meaning of "facade"?

facade: a false appearance or way of behaving that hides what someone or something is really like

CJ

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 CalifJim's reply was promoted to an answer.
Students: Are you brave enough to let our tutors analyse your pronunciation?

My façade drops = my false appearance gone?

Hasibul Alam

My façade drops = my false appearance gone?

His face expressed his true feelings.

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That is not the usual expression: These are:

He had put on a brave face. ( https://idioms.thefreedictionary.com/brave+face%2c+put+on+a )

His face fell. ( https://idioms.thefreedictionary.com/face+falls )