Some luggage pieces have wheels and a handle so that the luggage can be pulled along the ground. Suppose the length from the bottom of the bag to the place on the floor perpendicular to the hand on the bag is 14 inches, and the length of the bag with its handle is 19 inches. At which angle made by the bag and the floor would it be comfortable to roll the bag?
+33659 The cosine of the angle would be 14/19 (adjacent/hypotenuse), so
$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{14}}}{{\mathtt{19}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{42.536\: \!898\: \!362\: \!986^{\circ}}}$$
or angle ≈ 42.5°
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+33659 The cosine of the angle would be 14/19 (adjacent/hypotenuse), so
$${\mathtt{angle}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{14}}}{{\mathtt{19}}}}\right)} \Rightarrow {\mathtt{angle}} = {\mathtt{42.536\: \!898\: \!362\: \!986^{\circ}}}$$
or angle ≈ 42.5°
