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A ladder 6 m long rests against a wall. The foot of the ladder is 2.7m away from the base of the wall. What angle does the ladder make with the wall?

 Sep 21, 2014

Best Answer 

 #1
avatar+33615 
+5

sine is opposite over hypotenuse, so

sin(angle) = 2.7/6

angle = sin-1(2.7/6)

$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{2.7}}}{{\mathtt{6}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{26.743\: \!683\: \!950\: \!403^{\circ}}}$$

 Sep 22, 2014
 #1
avatar+33615 
+5
Best Answer

sine is opposite over hypotenuse, so

sin(angle) = 2.7/6

angle = sin-1(2.7/6)

$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{2.7}}}{{\mathtt{6}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{26.743\: \!683\: \!950\: \!403^{\circ}}}$$

Alan Sep 22, 2014

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