Question

10. A ladder 13 m long rests against a vertical wall. If the foot of the ladder is 5 m away from the wall
and the ladder just reaches the top of the wall, how high is the wall?​

Answer 1

Step-by-step explanation:

Consider the ladder wall system as a right-angled triangle such that length of ladder rested on the wall being the hypotenuse (H), the distance between the foot of the wall and the ladder being the base (B) and length of the wall up to the ladder being the perpendicular (P)

now, given, H = 13 m, B = 5m

Thus, H

2

=P

2

+B

2

(by Pythagoras theorem)

13

2

=P

2

+5

2

P

2

=144

P=12 m

Thus, the distance between the foot of the wall and the ladder is 12 m