Question

iif a ladder is placed in such a way that its foot is 5m away from the wall of the tank and its top reaches a tank 12 above the ground find the length of the ladder ​

Answer 1

Correct Question:

A ladder is placed in such a way that its foot is 5 m away from the wall of the tank and its top reaches a tank 12 m above the ground. find the length of the ladder?

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SoluTion:

GivEn,

Distance between foot of ladder and wall of tank = 5 m

Height of tank to ground = 12 m

✇ Let length of ladder be x m

★ Now, Using Pythagoras Theorem,

⋆ H² = B² + P²

Here we have,

Base, B = 5 m

Perpendicular, P = 12 m

Putting values,

➯ x² = 5² + 12²

➯ x² = 25 + 144

➯ x² = 169

➯ x = √169

➯ x = 13 m

∴ Hence, The length of ladder is 13 m.

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More to know:

Pythagoras Theorem: The sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

(Hypotenuse)² = (Base)² + (Perpendicular)²