How do you use sin to find the hypotenuse if you only know the opposite side?

Question

How do you use sin to find the hypotenuse  if you only know the opposite side?

anonymous · Answer

I also know the angle equals 30 degrees

anonymous · Answer

isn't the side opposite sin(30) = 1 on a 30-60-90 trangle?

anonymous · Answer

I'm not sure... This is what I'm looking at. Can you help me solve it?

anonymous · Answer

I need to know the length of AC

anonymous · Answer

I'm not 100%, but I'd be suspicious that there are some pythagorean identities that might be able to help us.  Or maybe if we set it up like an equation where we had to solve for x.  We know that sin is opposite over hyp, and we have opposite.  so if you did something like sin(30) = 7/x  would that help?

anonymous · Answer

maybe you could cross multiply and get x = 7/sin(30)

anonymous · Answer

my bad. opposite(sin30)

anonymous · Answer

I did 7/sin(30) and got 14 which is one of the answers! Thank you!

anonymous · Answer

thank YOU!  I obviously needed a refresher.  anyway, you're welcome.