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How high was migdal Bavel?

From the Chumash we know that the tower was built in a valley which suggests that its purpose was more symbolic than pragmatic. To that effect I am wondering if anything else would stick out as being purely symbolic and more specifically what the height of the tower was. (If the tower was not tall then that would be another suggestion of symbolism.)

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+1 That does sound like something a Midrash might expound upon. –  Double AA Oct 16 '12 at 19:05
    
Note that Ibn Ezra doesn't understand it as a valley, but as a plain. He suggests that it might have been termed a "valley" because it had mountains around it. –  Shimon bM Oct 17 '12 at 2:21
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According to Sefer Hayovelim the height was 13 parsa, 5433 amos and 2 zratot. (Source)

This would come out to about 52.5 km.

There are sources (such as) that take only the amos, because 50 km is unbelievable, and it doesn't really work out with the way the verse is built (חמשת אלפים וארבע מאות ושלושים ושלוש באמה עלה גבהו, ושתי זרתות ושלוש עשרה פרסה). That's about 2.6 km (still pretty high).

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+1 Just for comparison Mount Everest rises about 8.8 km above sea level. –  Double AA Oct 16 '12 at 20:06
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