Question

Find c Round to the nearest tenth 27 201 28 c=?cm

Answer 1

Answer:

$56.3$

Step-by-step explanation:

The Law of Sines works for any triangle and is given by $\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$ (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).

Thus, we have:

$\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}$