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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.

Triangle ABC is a right triangle with lengths shown. What is the decimal value of-example-1
User Albeis
by
8.3k points

1 Answer

3 votes

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

User Rockyraw
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