Question

Please Answer Fast..

Please Answer With explanation..
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Answer 1

the answer using Pythagoras theorem will be 9m

Answer 2

Diagram :

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.7mm}\qbezier(0.8, 0)(0.8,0)( 0.8,3.9)\qbezier(5,0)(5, 0)(0.8,2.9)\qbezier(6,0)(6,0 )(0.8,3.9)\qbezier(6,0)(1,0)(0.8,0)\put(1.2,0){\line(0,3){0.3}}\put(0.8,0.3){\line(1,0){0.4}}\put(4.5,0.3){\line(1,1){0.5}}\put(1.4,2.5){\line(1,1){0.6}}\put(2,2){\line(1,1){0.6}}\put(2.8,1.5){\line(1,1){0.5}}\put(3.8,0.9){\line(1,1){0.5}}\put(-0.3,1.5){\sf 12 m}\put(3.1,-0.3){\sf a}\put(0.5,-0.3){\sf Q}\put(5.1,-0.3){\sf R}\put(0.4,2.8){\sf P}\put(3.5,2.3){\sf 15 m}\end{picture}$

Answer:

In the right angled triangle PQR,

• PR represents the length of ladder
• PR = 15 m
• PQ represents the wall.
• PQ = 12 m
• QR represents the distance between the foot of wall to foot of ladder
• QR = a = ?

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle :]

By above definition for right angled triangle PQR,

$\sf => (PR)^2 = (PQ)^2 + (QR)^2$

$\sf => (15)^2 = (12)^2 + (a)^2$

$\sf => {a}^{2} = 225 - 144$

$\sf => {a}^{2} = 81$

• Taking square roots on both sides we get :]

$\sf => a = \sqrt{81}$

$=>\textsf{ \textbf{a = 9}}$

Therefore, the distance of the foot of the ladder from the wall is 9 m.