what is the length of $overline{sa}$?\n1.89 ft\n2.43 ft\n3 ft\n7 ft

what is the length of $overline{sa}$?\n1.89 ft\n2.43 ft\n3 ft\n7 ft

what is the length of $overline{sa}$?\n1.89 ft\n2.43 ft\n3 ft\n7 ft

Answer

Answer:

3 ft

Explanation:

Step1: Aplicar el teorema de Tales

En triángulos semejantes, $\frac{SA}{AB}=\frac{CT}{CB}$.

Step2: Identificar valores

$AB = 10$ ft, $CT = 2.7$ ft, $CB=9$ ft.

Step3: Calcular $\frac{CT}{CB}$

$\frac{CT}{CB}=\frac{2.7}{9}=0.3$.

Step4: Encontrar $SA$

Sea $SA = x$. Entonces $\frac{x}{10}=0.3$, así que $x = 10\times0.3=3$ ft.