Chapters 1-9 - Cumulative Review Exercises - Page 706: 29

The unknown length of the figure is $\approx 13.2$ yd.

Let $y =$ unknown length in the figure $a^{2} + b^{2} = c^{2}$ (Pythagorean Theorem) $15^{2} + y^{2} = 20^{2}$ $225 + y^{2} = 400$ $y^{2} = 175$ $y = \sqrt 175$ $y = 13.228...$ $y \approx 13.2$ yd