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triangle: (right angle) opposite=100m, adjacent=150m, hypotenuse=180.1m. Using tan (tangent) what is the angle opposite of 100m?

 Jun 18, 2014

Best Answer 

 #1
avatar+33661 
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tangent is opposite/adjacent, so tan(angle)=150/100

$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{150}}}{{\mathtt{100}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{56.309\: \!932\: \!474\: \!02^{\circ}}}$$

 Jun 18, 2014
 #1
avatar+33661 
+5
Best Answer

tangent is opposite/adjacent, so tan(angle)=150/100

$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{150}}}{{\mathtt{100}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{56.309\: \!932\: \!474\: \!02^{\circ}}}$$

Alan Jun 18, 2014

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