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sin 32/15 = sin 18.5 / a     (sin is in deg)

 May 12, 2014

Best Answer 

 #1
avatar+118724 
+5

$$\frac{sin32}{15}=\frac{sin18.5}{a}\\\\
\frac{15}{sin32}=\frac{a}{sin18.5}\\\\
sin18.5\times\frac{15}{sin32}=a\\\\$$

$${\frac{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{18.5}}^\circ\right)}{\mathtt{\,\times\,}}{\mathtt{15}}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{32}}^\circ\right)}}} = {\mathtt{8.981\: \!688\: \!659\: \!618\: \!659\: \!5}}$$

So $$a \approx 8.98\:\:\:\mbox{units}$$

.
 May 12, 2014
 #1
avatar+118724 
+5
Best Answer

$$\frac{sin32}{15}=\frac{sin18.5}{a}\\\\
\frac{15}{sin32}=\frac{a}{sin18.5}\\\\
sin18.5\times\frac{15}{sin32}=a\\\\$$

$${\frac{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{18.5}}^\circ\right)}{\mathtt{\,\times\,}}{\mathtt{15}}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{32}}^\circ\right)}}} = {\mathtt{8.981\: \!688\: \!659\: \!618\: \!659\: \!5}}$$

So $$a \approx 8.98\:\:\:\mbox{units}$$

Melody May 12, 2014

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