if a ladder 40 feet long is placed so as to reach a window 30 feet high, what angle does it make with level ground. find the angle of elevation of the top of the building and the angle of depression of its base.
+33653 Angle of elevation = angle of depression.
sin(angle) = 30/40
$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{30}}}{{\mathtt{40}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{48.590\: \!377\: \!890\: \!729^{\circ}}}$$
+33653 Angle of elevation = angle of depression.
sin(angle) = 30/40
$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{30}}}{{\mathtt{40}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{48.590\: \!377\: \!890\: \!729^{\circ}}}$$
