Difference between anticipate and imagine

[Komon]

Test No. incompl/advan-32 "Letter Writing (4)", question 6

By the time the plane took off as you can ........., we were all tired, hungry and miserable.

(a) believe
(b) anticipate
(c) imagine
(d) think

Test No. incompl/advan-32 "Letter Writing (4)", answer 6

By the time the plane took off as you can imagine, we were all tired, hungry and miserable.

Correct answer: (c) imagine

Your answer was: incorrect
By the time the plane took off as you can anticipate, we were all tired, hungry and miserable.
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Isn't "anticipate" suitable for this sentence, is it?

[Mister Micawber]

.
Anticipation is concerned with future events-- we prepare for them, we worry about them, we act ahead of time with regard to them.

Here, the tiredness, hunger and misery are in the past, and the listener is left to imagine them.
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Native English teacher at Mister Micawber's