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To find \(\sin C\) in the right triangle provided, we use the definition of sine in a right triangle:

\[
\sin C = \frac{\text{opposite}}{\text{hypotenuse}}
\]

Here, \(C\) is one of the angles in the right triangle:
- The side opposite to angle \(C\) is \(28\) (side \(AB\)).
- The hypotenuse is \(35\) (side \(AC\)).

Thus, we can calculate:

\[
\sin C = \frac{28}{35} = \frac{4}{5}
\]

So, \(\sin C = 0.8\).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is \(\cos C\) for this triangle?
2. Can you find the value of \(\tan C\) in the triangle?
3. What is the value of \(\sin B\) for the same triangle?
4. How do you calculate the area of this right triangle?
5. How would you verify if this triangle is a right triangle using the Pythagorean Theorem?

**Tip:** In right triangles, the sine of one acute angle is always equal to the cosine of the other acute angle!

What is \(\sin C\) for the given right triangle?

Learn how to find the sine of angle \(C\) in a right triangle with sides 35, 28, and 21. This problem uses trigonometric ratios to solve for \(\sin C\). Perfect for students in Grades 9-11.

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