Question

A ladder leaning against a wall makes an angle of x degree with the horizontal ground such that cos x = 5/13 If the height of the top of the ladder from the wall 18m , find the distance from the foot of the ladder from the wall is?​

Answer 1

et AC denote the ladder and B be foot of the wall.

Let the length of the ladder AC be x metres.

Given that ∠CAB=60  

∘

 and AB=3.5m

In the right △CAB,cos60  

∘

=  

AC

AB

​  

 

⇒AC=  

cos60  

∘

 

AB

​  

 

∴x=2×3.5=7m

Thus, the length of the ladder is 7m.