Question

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

Answer 1

`56.3`

Explanation:

The Law of Sines works for any triangle and is given by
`(\sin A)/(a)=(\sin B)/(b)=(\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:

`(\sin 28^(\circ))/(27)=(\sin 102^(\circ))/(c),\\c=(27\sin 102^(\circ))/(\sin 28^(\circ))=56.2547070223\approx \boxed{56.3}`