Question

A ladder 7.5 m long rests against a wall. The bottom of the ladder is 2.1 m from the wall..Calculate how far the ladder reaches up the wall..​

Answer 1

Step-by-step explanation:

Annyeong Eonni

Correct option is

A

12m

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

Answer 2

Answer:

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