Two public works employees are installing a wheelchair ramp near the steps of a public library. The main door to the library is 6 feet off the ground. Assuming the horizontal distance of the ramp is 24.8, what is the length of the ramp? Round to the nearest tenth of a foot.​

Answer:Two public works employees are installing a wheelchair ramp near the steps of a public library. The length of the ramp is 25.51 feet.Solution:Consider the diagram attached below.Let AB be ground. C be the position of main door.As horizontal distance of the ramp = 24.8 feetSo AB = 24.8 feetMain door of the library is 6 feet off the ground.So CB = 6 feetNeed to calculate length of the ramp that is AC.By Pythagoras theorem, square of one side of a right triangle is equal to sum of square of other two sides.On applying Pythagoras theorem in right triangle ABC, we get[tex]AC^{2}=A B^{2}+B C^{2}[/tex][tex]AC=\sqrt{A B^{2}+B C^{2}}[/tex]On substituting value of AB and BC,[tex]AC=\sqrt{(24.8)^{2}+(6)^{2}}[/tex][tex]=\sqrt{615.04+36}[/tex][tex]=\sqrt{651.04}[/tex]= 25.51 feetHence length of the ramp is 25.51 feet.