Question

find sin c of the right triangle with a base of 6.3 cm a top of 7 cm and a side of 3cm

Answer 1

To find \(\sin(C)\) in the given right triangle, we need to identify the angle \(C\) and the lengths of the sides opposite and adjacent to this angle. In a right triangle, the following trigonometric relationships hold:

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

From your description, it appears that you have a triangle with:

- Base (adjacent side) = \(6.3\) cm
- Height (opposite side) = \(3\) cm
- Hypotenuse = \(7\) cm

1. Identify the sides relative to angle \(C\):
- Let \(C\) be the angle opposite the side measuring \(3\) cm.
- The side measuring \(3\) cm is the side opposite angle \(C\).
- The hypotenuse is \(7\) cm.

2. Calculate \(\sin(C)\):
\[
\sin(C) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{3}{7}
\]

Thus, the value of \(\sin(C)\) is \(\frac{3}{7}\).