Question

Q2. . A ladder is placed along a wall at a distance of 5 m from it. The ladder touches a window in the wall at a height of 12 m. Find the length of the ladder.

Answer 1

Answer:

13

Step-by-step explanation:

Pythagoras theory

a square +b square = c square

5 square + 12 square = c square

25 + 144 =c square

169 = c square

c = 169 square root

c = 13 metres

Answer 2

♪Solution:

★Answer 1:

We know that,

• Sum of all the angles of a triangle is 180.

Now, solving for x:

= Sum of all angles = 180

= (x + 12) + x + ( x - 12) = 180

= 3x + 0 = 180

= 3x = 180

= x = 180/3

= x = 60

So, all the angles are:

• (x + 12) = 60 + 12 = 72°
• x = 60°
• (x - 12) = 60 - 12 = 48°

★Answer 2:

Note*- You may see the attachment for understanding the diagram properly.

Using Pythagoras theoram,

= H² = P² + B²

= AC² = AB² + BC²

= AC² = 12² + 5²

= AC² = 144 + 25

= AC² = 169

= AC = √169

= AC = 13 m

As, AC is the length of ladder. Therefore, the lenghth of the ladder is 13m.