Question

Triangle ABC is a right triangle with lengths shown.

What is the decimal value of sin C?
Round the answer to the nearest hundredth if necessary.

Answer 1

Answer:
`sinC=0.22`

Explanation:

For this exercise you need to use the following Trigonometric Identity:

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

In this case,given the rigth triangle ABC , you can identify that:

`\alpha=C\\opposite=AB=18\\hypotenuse=AC=82`

So, knowing these values, you can substitute them into
`sin\alpha=(opposite)/(hypotenuse)` and then evaluate.

Then, you get:

`sinC=(18)/(82)\\\\sinC=0.219`

Finally, rounding to the nearest hundreth, you get:

`sinC=0.22`