The answer is 10
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The height of the fence is irrelevant. The bottom of the ladder is 3+8 = 11 feet from the building. The window is 14ft above the ground:
sqrt(14^2+11^2) = length of your ladder.
I can only see part of the question can you repost it?!!
Rational Roots Theorem states if a polynomial P (x) has rational roots then p/q is a root where p is a multiple of a0 and q of an. Moreover this polynomial has 3 roots, at most 3 which are positive and none of which are negative. Finding a root x0, you can use (x-x0) and long division to factor P (x) and find the other roots. Possible rational roots +/- {1,2,3,6,7,14,21}.
Namely 2,3,7 are the roots so it factors
(x-2)(x-3)(x-7)
It's 8+2x+28 =24x
It becomes 2x+36=24x
Then subtract 2x from both sides you get 36=22x
Then divide both sides by 22 and you'll get 1.64 which is the answer.
RAte and Thanks!
