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

Answer:

169

Step-by-step explanation:

let x be ladder length

to find x use hypotenuse theorem

x^2 = 5^2 + 12^2

x^2 = 25 + 144

x^2 = 169

x = sq. root of 169

x = 13

Hope it helps !

Pls mark brainliest

Answer 2

Correct Question :

A ladder is placed in such a way that its foot is at a distance of 5 m from a wall and its top reaches a window 12 m above the ground. Find the length the ladder.

Answer :

• The length of the ladder = 13 m.

Given :

• The distance between foot of a ladder and a wall = 5 cm.
• Height of the window to ground = 12 cm.

To Find :

• The length of the ladder.

Solution :

Let,

The length of the ladder be x.

By pythagoras theorem,

$\large \underline{ \boxed{ \orange{ \sf{ {a}^{2} = {b}^{2} + {c}^{2} }}}}$

Where,

• a = hypotenuse.
• b = base.
• c = perpendicular.

Given,

• Base = b = 5 cm.
• Perpendicular = c = 12 cm.

$: \implies \rm {x}^{2} = {(5 \: m)}^{2} + {(12 \: m)}^{2} \\ \\ : \implies \rm {x}^{2} = 25 \: {m}^{2} + {144 \: m}^{2} \\ \\ : \implies \rm {x}^{2} = 169 \: {m}^{2} \\ \\ : \implies \rm x = \sqrt{169 \: {m}^{2} } \\ \\ : \implies \rm x = 13 \: m$

Hence,

The length of the ladder is 13 m.