Question

B=3, C=8, Sin A = 1/4

What's the Area of ABC?

Answer 1

we know that sin x = opposite/hyp

so in this case sin A = 1/4

where the opposite = y = 1
and the hyp. = c = 4


now we have a right triangle so we use this formula:

\[A = (bh)/2\]

where h = y = 1
and b = x = (15)^1/2

so :

\[A = (\sqrt{15})(1)/2 = 1.94 \]

correct me if I'm wrong, I'm not sure of the answer though