Question

A ladder makes an angle of 60º with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is
(a)$\frac{4}{\sqrt{3}}$
(b)4√3
(c)2√2
(d)4

Answer 1

Answer:

The Length of the ladder is 4 m.  

Among the given options option (d) 4 m  is correct.

Step-by-step explanation:

GIVEN:

Distance of the foot of the ladder from the wall, BC = 2 m  

A ladder makes an angle with the ground , ∠ACB = 60°

Let AC be the Length of the ladder.

In right angle triangle, ∆ABC ,

cos 60°  = B/H =  BC/AC  

½ = 2/AC

AC  = 2 × 2

AC = 4 m

Hence , the Length of the ladder is 4 m.  

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

Answer:

largth of the ladder=x

x/2=Cos60

x /2 = 1/2

x=4m ...Ans