SOLUTION: 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
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-> SOLUTION: 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
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Question 1087991: 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
You can put this solution on YOUR website! 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
