Question

The foot of a ladder is 15m away from a wall and its top reaches a window 8 m above the ground . if the ladder is shifted in such a way that its foot is 8 m away from the wall , to what height does its top reach ?

Answer 1

Step-by-step explanation:

Consider the ladder wall system as a right angled triangle such that length of the ladder be the hypotenuse, length of wall till the ladder be perpendicular and distance between the foot be the base

Thus, H

2

=P

2

+a

2

15

2

=12

2

+a

2

225=144+a

2

a

2

=81

a=9 cm

Thus, distance between the foot of the ladder and the wall is 9 cm.

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