find the ratio for sin ∠t

Explanation:

Step1: Recall sine definition

In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify sides for $\angle T$

For $\angle T$, opposite side is $AC = 7$, hypotenuse is $TC = 25$.

Step3: Calculate $\sin \angle T$

$\sin \angle T = \frac{AC}{TC} = \frac{7}{25}$.

Answer:

$\frac{7}{25}$ (corresponding to the option with $7/25$)