Can someone please help me? Observe △CBA shown below.

Part 1: Make up an angle measure for angle C and a length for one of the sides (AB, BC, or CA).

Part 2: Use a trigonometric ratio (sine, cosine, or tangent) to solve for one of the other side lengths.

Please provide both the ratio and work used to solve for the missing side length. Round your solution to the nearest hundredth.

Question

Can someone please help me?  Observe △CBA shown below.
 
Part 1: Make up an angle measure for angle C and a length for one of the sides (AB, BC, or CA).
 
Part 2: Use a trigonometric ratio (sine, cosine, or tangent) to solve for one of the other side lengths.
 
Please provide both the ratio and work used to solve for the missing side length. Round your solution to the nearest hundredth.

anonymous · Answer

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ddcamp · Answer

Choose any angle (less than 90°) for c, and a length (L). Find a or b.
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anonymous · Answer

to make it easy, say angle C s 45 degrees. and the length of  BA as 10. then use the trig ratio sin 45 =10/AC, then AC sin45=10 then divide. 10/sin45=AC. AC should be 14.142. also, using pythagorean theorem, a^2 + b^2 = c^2, you can check your answer and it is indeed 14.142.

anonymous · Answer

Ok that makes sense.  Thank you.