A ladder is placed in such a way that its foot is at a distance of 9 metre from a wall and its top reaches a window 12 metre above the ground. Determine the length of the ladder.
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ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ-:
Correct question:
A ladder is placed in such a way that its foot is at a distance of 5 metre from a wall and its top reaches at window 12 metre above the ground determine the length of the ladder.
Given:
Distance between foot of ladder and wall =
Height of the window from to ground =
Length of the ladder = x
All the things together form a right angled triangle, as given in image.
∴We will solve by using Pythagoras theoram.
Solution:
➞ =
+
➞ =
➞ =
➞ =
Length of the ladder is 13m.
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Solution :-
Base = 9 metre
Height = 12 metre
Hypotenuse = ?
By using the formula,
H² = B² + P²
x² = (9)² + (12)²
x² = 81 + 144
x² = 225
x = √225
x = 15 m
Therefore, the length of the ladder is 15 metre.
Hope it helps!
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