Applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet
Recall:
Similar triangles will have corresponding sides that have proportionate length based on the similar triangle theorem.
The two triangles in the diagram are similar.
Therefore, the ratio of their corresponding sides will be equal (i.e. corresponding side lengths that are proportional).
Thus:
[tex]\frac{5}{w} = \frac{7}{18}[/tex]
[tex]w = \frac{18 \times 5}{7} \\\\w = 12.9[/tex]
Therefore, applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet
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