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24 Oct 2019, 22:28
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B
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70% (01:58) correct
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The length of a ladder is exactly equal to the height of the wall. If a ladder is placed on a 2 ft stool, placed 10 ft away from the wall, then the top of the ladder just reaches the top of the wall.Find the height of the wall.
(A) 25
(B) 26
(C) 27
(D) 28
(E) 29
24 Oct 2019, 22:43
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Let the height of the wall = h = length of the ladder
When it is placed on a stool of 2 ft height, base of the ladder is 10 ft away from the wall.
So a right-angled triangle is formed with hypotenuse = h, base = 10 and height = (h - 2)
--> \(h^2 = (h - 2)^2 + 10^2\)
--> \(h^2 = h^2 - 4h + 4 + 100\)
--> \(4h = 104\)
--> \(h = 26\)
Height of the wall = h = 26
IMO Option B
When it is placed on a stool of 2 ft height, base of the ladder is 10 ft away from the wall.
So a right-angled triangle is formed with hypotenuse = h, base = 10 and height = (h - 2)
--> \(h^2 = (h - 2)^2 + 10^2\)
--> \(h^2 = h^2 - 4h + 4 + 100\)
--> \(4h = 104\)
--> \(h = 26\)
Height of the wall = h = 26
IMO Option B
24 Oct 2019, 22:49
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OA:B
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