Question

sin a; in the right triangle, the length of ac is 63, the length of ab is 65, the length of cb is 16, and angle c is the right angle.

Explanation:

Step1: Recall sine definition

For right triangle, $\sin A = \frac{\text{opposite side to } A}{\text{hypotenuse}}$

Step2: Identify relevant sides

Opposite side to $A$ is $BC=16$, hypotenuse $AB=65$

Step3: Substitute values into formula

$\sin A = \frac{16}{65}$

Answer:

$\frac{16}{65}$