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Wheelchair ramps for access to public buildings are allowed a maximum of one inch of vertical increase for every one foot of horizontal distance. Would a ramp that is 10 feet long and 8 inches tall meet this guideline? Explain your reasoning to a classmate.

 Nov 19, 2016

Best Answer 

 #3
avatar+36916 
+5

10 feet is the length ....it is also the HYPOTENUSE of a right triangle.

ONE leg is 8 inches, or 2/3 ft    

we need to fing the OTHER LEG

a^2 +b^2 = c^2  Pythagorean Theorem

(2/3)^2 + b^2 = 10^2

b^2 = 100 - 2/3^2

b=9.9777 ft

SO the horizontal distance is 9.9777feet and the rise can be (according to guidelines) 9.9777 inches or less so this ramp is OK !

 

 

A little calculation error on the last step.....corrected it....the ramp is still OK

 Nov 19, 2016
 #1
avatar+36916 
+5

10 feet is the length ....it is also the HYPOTENUSE of a right triangle.

ONE leg is 8 inches, or 2/3 ft    

we need to fing the OTHER LEG

a^2 +b^2 = c^2  Pythagorean Theorem

(2/3)^2 + b^2 = 10^2

b^2 = 100 - 2/3^2

b=9.9888 ft

SO the horizontal distance is 9.9888 feet and the rise can be (according to guidelines) 9.9888 inches or less so this ramp is OK !

 Nov 19, 2016
 #2
avatar+73 
-4

Thanks A Lot!!!

GAMEMASTERX40  Nov 19, 2016
 #3
avatar+36916 
+5
Best Answer

10 feet is the length ....it is also the HYPOTENUSE of a right triangle.

ONE leg is 8 inches, or 2/3 ft    

we need to fing the OTHER LEG

a^2 +b^2 = c^2  Pythagorean Theorem

(2/3)^2 + b^2 = 10^2

b^2 = 100 - 2/3^2

b=9.9777 ft

SO the horizontal distance is 9.9777feet and the rise can be (according to guidelines) 9.9777 inches or less so this ramp is OK !

 

 

A little calculation error on the last step.....corrected it....the ramp is still OK

ElectricPavlov Nov 19, 2016

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