If I'm building a ramp that is 25 inches high and 25 feet long, what would be the surface length of the slope?
+33657 If by "25 feet long" you are referring to the horizontal distance then the distance along the sloping surface can be found from Pythagoras:
$${\frac{{\sqrt{{{\mathtt{25}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\left({\mathtt{25}}{\mathtt{\,\times\,}}{\mathtt{12}}\right)}^{{\mathtt{2}}}}}}{{\mathtt{12}}}} = {\mathtt{25.086\: \!655\: \!372\: \!483\: \!948\: \!9}}$$ feet
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+129845 25 feet = 300 inches..... and the slope is given by :
sin-1 (25/300) = about 4.78°
+33657 If by "25 feet long" you are referring to the horizontal distance then the distance along the sloping surface can be found from Pythagoras:
$${\frac{{\sqrt{{{\mathtt{25}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\left({\mathtt{25}}{\mathtt{\,\times\,}}{\mathtt{12}}\right)}^{{\mathtt{2}}}}}}{{\mathtt{12}}}} = {\mathtt{25.086\: \!655\: \!372\: \!483\: \!948\: \!9}}$$ feet
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