Question

the foot of a ladder is 6 metre away from a wall and its top reaches a Window 8 metre above the ground. if the ladder is shifted in such a way that its foot is 8 metre away from the wall,to what height does its top reach?

Answer 1

Answer:6 m

Explanation:

The 'ladder', 'height to which it reaches' and 'foot of ladder from wall' forms a right angled triangle.

ladder = hypotenuse(h)

height to which it reaches = base(b)

foot of ladder from wall = altitude(a)

initially, a = 8m, b = 6m

h² = a² + b²

⇒ h = √(a²+b²) = √(8² + 6²) = √100 = 10m

when foot is 8m away from wall,

b = 8m, h = 10m, a = ?

h² = a² + b²

⇒ a² = h² - b²

⇒ a = √(h² - b²) = √(10² - 8²) = √36 = 6m

So its top reaches 6m height

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Answer 2

Explanation:

If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its top reach? Asked by abhinavsinha317 | 9th Aug