Question

5) sin C A 50 48 C 14 B 25 7 A) B) 7 25 7 24 ( ۲) D

Answer 1

A Right triangle is defined as a triangle that has an angle whose measure is 90 degrees (this angle is also known as "Right angle").

In this case you can identify that the triangle ABC shown in the picture is a Right triangle.

You need to remember the following Trigonometric Identity:

`\sin \alpha=(opposite)/(hypotenuse)`

In this case you can identify that:

`\begin{gathered} \alpha=C \\ opposite=AB=48 \\ hypotenuse=AC=50 \\ \end{gathered}`

Therefore, substituting values ans simplifying, you get:

`\begin{gathered} \sin C=(48)/(50) \\ \\ \sin C=(24)/(25) \end{gathered}`

The answer is: Option C.