In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem; that is, (2 = a2 + h2. In a regular hexagonal pyramid whose base edges measure 8/3 in., the apothem of the base measures 12 in. The slant height of the pyramid is 20 in. If the length of the altitude h is to be found using the formula in the theorem, determine the values (in inches) of the variables { and a. in in Find the length (in inches) of the altitude of the pyramid. in
In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem; that is, (2 = a2 + h2. In a regular hexagonal pyramid whose base edges measure 8/3 in., the apothem of the base measures 12 in. The slant height of the pyramid is 20 in. If the length of the altitude h is to be found using the formula in the theorem, determine the values (in inches) of the variables { and a. in in Find the length (in inches) of the altitude of the pyramid. in
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem; that is, (2 = a2 + h2.
In a regular hexagonal pyramid whose base edges measure 8/3 in., the apothem of the base measures 12 in. The slant height of the pyramid is 20 in. If the length of the altitude h is to be found
using the formula in the theorem, determine the values (in inches) of the variables { and a.
in
in
Find the length (in inches) of the altitude of the pyramid.
in
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