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Hypotenuse is 74 the angle is 32 degrees and opposite is X what is the missing side

 Jun 17, 2015

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 #1
avatar+33661 
+10

sin(angle) = opposite/hypotenuse

 

so opposite = hypotenuse*sin(angle)

 

$${\mathtt{X}} = {\mathtt{74}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{32}}^\circ\right)} \Rightarrow {\mathtt{X}} = {\mathtt{39.214\: \!025\: \!553\: \!242}}$$

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 Jun 17, 2015
 #1
avatar+33661 
+10
Best Answer

sin(angle) = opposite/hypotenuse

 

so opposite = hypotenuse*sin(angle)

 

$${\mathtt{X}} = {\mathtt{74}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{32}}^\circ\right)} \Rightarrow {\mathtt{X}} = {\mathtt{39.214\: \!025\: \!553\: \!242}}$$

.

Alan Jun 17, 2015

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