lilygruno13
Answered

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

Find C Round To The Nearest Tenth 27 201 28 Ccm class=

Sagot :

Corsaquix

Answer:

[tex]56.3[/tex]

Step-by-step explanation:

The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (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:

[tex]\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}[/tex]

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