How much higher is the top of the ladder now?
1 Answer
Apr 11, 2018
Explanation:
We know the length of the ladder and the height up the wall, so by pythagoras, we find that
#25^2 = 15^2 + G^2#
#G = 20#
Thus, the base of the ladder is
#(20 - 2x)^2 + (15 + x)^2 = 25^2#
#400 - 80x + 4x^2 + 225 + 30x + x^2 = 625#
#5x^2 - 50x= 0#
#x(x- 10) = 0#
#x = 0 or 10#
Since
Hopefully this helps!