# Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises: 42

The height of the farm silo is $\approx 41.1$ ft.

#### Work Step by Step

Let $x =$ height of the farm silo $a^{2} + b^{2} = c^{2}$ $x^{2} + 35^{2} = 54^{2}$ $x + 1225 = 2916^{2}$ $1391 = H^{2}$ $H = \sqrt 1691$ $H = 41.121...$ $H \approx 41.1$ ft

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