A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

یک سیڑھی کو دیوار کے ساتھ اس طرح رکھا گیا ہے کہ اس کا پاؤں دیوار سے 2.5 میٹر کے فاصلے پر ہے اور اس کا اوپری حصہ زمین سے 6 میٹر بلند کھڑکی تک پہنچتا ہے۔ سیڑھی کی لمبائی معلوم کریں۔

4.6 m
None of these
6.5 m
7.5 m

Answer: 6.5 m

Explanation

Let AC be the ladder and BC be the wall . Then,
In right $△$ ABC,
$A C^{2} = A B^{2} + B C^{2}$
$A C^{2} = (2.5)^{2} + (6)^{2}$
$A C^{2} = 42.25mama$
$A C = 6.5 m$
Hence, the length of ladder is 6.5 m.

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A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

Explanation

Let AC be the ladder and BC be the wall . Then,In right △ ABC,AC2=AB2+BC2AC2=(2.5)2+(6)2AC2=42.25mamaAC=6.5 mHence, the length of ladder is 6.5 m.

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Let AC be the ladder and BC be the wall . Then,
In right $△$ ABC,
$A C^{2} = A B^{2} + B C^{2}$
$A C^{2} = (2.5)^{2} + (6)^{2}$
$A C^{2} = 42.25mama$
$A C = 6.5 m$
Hence, the length of ladder is 6.5 m.