Question

Please help!!!!! I don't just want the answer I would like someone to walk me through the process or just explain. Thanks!!!

Answer 1

Answer: $51{\circ}$

Step-by-step explanation:

The law of sines says that in a triangle ABC with sides a,b and c respectively we have :-

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

Now , for the given triangle in the picture we have

$\frac{\sin 104^{\circ}}{15}=\frac{\sin J}{12}\\\\\Rightarrow \sin J=\frac{\sin 104^{\circ}\times12}{15}\\\\\Rightarrow \sin J=\frac{0.97029572627\times12}{15}\\\\\Rightarrow \sin J=0.776236581016\\\\\Rightarrow J=\sin^{-1}(0.776236581016)=50.91728017\approx51{\circ}..............[\text{Using calculator}]$

Hence, the measure of angle J = $51{\circ}$

Answer 2

Sin J / 12 = Sin 104 / 15

Set a proportion:

Sin J * 15 = Sin 104 * 12
Sin J = .77

< J = 51.9

J equals 51.9, answer d

Answer would be: CHOICE D