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if i have a right triangle and the opposite of x is 100 and the adjacent side to x is 150 what is the value of x?

 Feb 26, 2016

Best Answer 

 #2
avatar+26387 
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if i have a right triangle and the opposite of x is 100 and the adjacent side to x is 150 what is the value of x?

 

\(\begin{array}{rcll} \tan{(x)} &=& \frac{100}{150} \\ \tan{(x)} &=& \frac{10}{15} \\ \tan{(x)} &=& \frac{2}{3} \\ \tan{(x)} &=& 0.66666666667 \\ x &=& \tan^{-1}{(0.66666666667)} \\ x &=& 33.6900675260^{\circ} \end{array}\)

 

laugh

 Feb 26, 2016
 #1
avatar+118667 
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Hint: What trig ratio is opposite over adjacent?

 Feb 26, 2016
 #2
avatar+26387 
+10
Best Answer

if i have a right triangle and the opposite of x is 100 and the adjacent side to x is 150 what is the value of x?

 

\(\begin{array}{rcll} \tan{(x)} &=& \frac{100}{150} \\ \tan{(x)} &=& \frac{10}{15} \\ \tan{(x)} &=& \frac{2}{3} \\ \tan{(x)} &=& 0.66666666667 \\ x &=& \tan^{-1}{(0.66666666667)} \\ x &=& 33.6900675260^{\circ} \end{array}\)

 

laugh

heureka Feb 26, 2016

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