The length of SA exists at 3 feet.
How to estimate the length of SA?
From the given figure, Line ST exists parallel to line AC.
By Basic Proportionality Theorem
"If a line exists parallel to a side of a triangle which intersects the other sides into two different points, then the line divides those sides in proportion".
Therefore,
\($\frac{S B}{S A}=\frac{B T}{T C}$\)
\($\frac{10}{S A}=\frac{9}{2.7}\)
By cross multiplying, we get
\(@@MATH_TOKEN_2@@S A=\frac{2.7 \times 10}{9} \\\)
SA = 3 ft
The length of SA exists at 3 feet.
Therefore, the correct answer is option c. 3 ft.
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