Question

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.​

Answer 1

$\huge\bf\pink{ᴀɴsᴡᴇʀ࿐}$

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 = $\tt{5m}$

Height of the window from to ground = $\tt{12m}$

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:

➞$\tt{x^2}$ = $\tt{5^2}$+$\tt{12^2}$

➞$\tt{x^2}$ = $\tt\sqrt{144+25}$

➞$\tt{x^2}$ = $\tt\sqrt{169}$

➞$\tt{x}$ = $\tt{13}$

Length of the ladder is 13m.

❥_______________________________

ʙᴇ ʙʀᴀɪɴʏ

⬇⬇⬇⬇⬇

Answer 2

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!