Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$140.2=6.6y \sin 83.08$$

Answer

y=21.242424242424/sin(83.08)

Solution


Regroup terms.
\[140.2=6.6\sin{(83.08)}y\]
Divide both sides by \(6.6\).
\[\frac{140.2}{6.6}=\sin{(83.08)}y\]
Simplify  \(\frac{140.2}{6.6}\)  to  \(21.242424\).
\[21.242424=\sin{(83.08)}y\]
Divide both sides by \(\sin{(83.08)}\).
\[\frac{21.242424}{\sin{(83.08)}}=y\]
Switch sides.
\[y=\frac{21.242424}{\sin{(83.08)}}\]

Decimal Form: 21.561332

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