<PRE><B>Question 1087991</B>
 the inclined ramp use for loading cars in a truck is 8m longer than the rise of the ramp.
 The run is 7m longer than the rise. How long are the three sides of the ramp
:
let r = the rise of the ramp
then
(r+8) = length of the ramp
and
(r+7) = the horizontal run of the ramp
:
We can us pythag
r^2 + (r+7)^2 = (r+8)^2
FOIL
r^2 + r^2 + 14r + 49 = r^2 + 16r + 64
Combine like terms on the left
r^2 + r^2 - r^2 + 14r - 16r + 49 - 64 = 0
r^2 - 2r - 15 = 0
Factors to
(r-5)(r+3) = 0
the positive solution is all we want here
r = 5 ft
then
5 + 8 = 13 ft is the length of the ramp
and
5 + 7 = 12 ft is the horizontal run of the ramp
:
:
See if that checks out
5^2 + 12^2 = 13^2
25 + 144 = 169</PRE>