Finding area and angle of triangle

In the usual notation for a triangle, b =6 cm, c =10cm and B = 30degrees.
Show that there are two possible values for C, and find the area of the triangle in each case.

I dont get how there are 2 values for C. I've used the sin rule to get C 47.83degrees. How do I do this?
thanks

Quote:

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Originally Posted by Detanon

In the usual notation for a triangle, b =6 cm, c =10cm and B = 30degrees.
Show that there are two possible values for C, and find the area of the triangle in each case.

I dont get how there are 2 values for C. I've used the sin rule to get C 47.83degrees. How do I do this?
thanks

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Hint for two possible values for C:

Hint for the area: Area