Question

find the sine of ∠c.
a
35
b
12
37
c
simplify your answer and write it as a proper fraction, improper fraction, or whole number.
sin (c) =

Explanation:

Step1: Recall sine definition for right triangles

For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$

Step2: Identify sides for $\angle C$

Opposite side to $\angle C$ is $AB = 35$, hypotenuse is $BC = 37$.

Step3: Substitute values into formula

$\sin(C) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{35}{37}$

Answer:

$\frac{35}{37}$