Carcass wrote:
Attachment:
triangle.jpg
A 20-foot ladder leaning against a vertical wall with the base of the ladder 10 feet from the wall is pulled 2 feet farther out from the wall, causing the top of the ladder to drop x feet.
Quantity A |
Quantity B |
x |
2 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudos for
R.A.E\(20^2 = 12^2 + A^2\) -> \(A^2 = 400 - 144 = 256\) -> \(A = \sqrt{256} = 16\)
Similarly,\(20^2 = 10^2 + (16 + x)^2\) -> \((16 + x)^2 = 300\)
As 18^2 = 324 > 300 and x must be less than 2
Therefore, we can conclude that Quantity B is greater
(Option B)