Question

the foot of a ladder rest at a distance of 36 metre from the wall and the top of the ladder rests on a wall at a height of 50 m from the ground. find the length of the ladder​

Answer 1

Answer:

the length of the ladder is 61.61 m

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Answer 2

• Let the Wall be AB of height 15 metres & Distance b/w Ladder and Wall be BC of distance 36 metres.

• AC be the Ladder.

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$\underline{\bigstar\:\textsf{By Pythagoras theorem in \triangle ABC :}}$

$\begin{gathered}:\implies\sf (Hypotenuse)^2=(Height)^2+(Base)^2\\\\\\:\implies\sf (AC)^2=(AB)^2+(BC)^2\\\\\\:\implies\sf (AC)^2=(15\:m)^2+(36\:m)^2\\\\\\:\implies\sf (AC)^2=225\:m^2+1296\:m^2\\\\\\:\implies\sf (AC)^2=1521\:m^2\\\\\\:\implies\sf AC= \sqrt{1521\:m^2} \\\\\\:\implies\sf AC = \sqrt{39 \:m \times 39 \:m} \\\\\\:\implies\underline{\boxed{\sf AC = 39 \:m}}\end{gathered}$

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$\therefore\:\underline{\textsf{Hence, Length of the ladder is \textbf{39 metres}}}.∴$

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