Question

A ladder is placed 5m away from a wall and its top reaches 12m height on the wall. Then find the length of the ladder.
a. 13m b. 14m c. 10m d. 2m

Answer 1

Step-by-step explanation:

Let AC be the ladder and A be the window.

Given: AC=15m, AB=12m, CB=am

In right angled triangle ACB,

(Hypotenuse)

2

=(Base)

2

+[Perpendicular)

2

[By Pythagoras theorem]

⇒(AC)

2

=(CB)

2

+(AB)

2

⇒(15)

2

=(a)

2

+(12)

2

⇒225=a

2

+144

⇒a

2

=225−144=81

⇒a=

81

=9cm

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

Answer 2

Answer:

a. 13m

Step-by-step explanation:

I hope this helps.