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To find the height of the Taj Mahal, we use the tangent trigonometric reason, which is equivalent to the ratio between the opposite leg (h) and the adjacent leg (100ft).

[tex]\begin{gathered} \tan 79.9=\frac{h}{100ft} \\ h=100ft\cdot\tan 79.9 \\ h\approx561,4m \end{gathered}[/tex]

Therefore, the height is 561.4 m.

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