OMTEX CLASSES: A ladder leaning against a vertical wall, makes an angle of 600 with the ground. The foot of the ladder is 3.5 m away from the wall. Find the length of the ladder.

A ladder leaning against a vertical wall, makes an angle of 600 with the ground. The foot of the ladder is 3.5 m away from the wall. Find the length of the ladder.

A ladder leaning against a vertical wall, makes an angle of 600 with the ground. The foot of the ladder is 3.5 m away from the wall. Find the length of the ladder.

Solution:



Let AC be the length of the ladder,

AB be the distance between the foot of the ladder and the base of the wall.

Thus, AB = 3.5 m  (Given)

In right angled triangle, ABC,

cos 600 =  AB/AC

1/2 = 3.5/AC

AC = 3.5 × 2

AC = 7 m.


 The length of the ladder is 7m.