Question

A ladder leaning against a vertical wall makes an angle of 30 degree with the ground.If the foot ladder is 3m from the wall find the length of the ladder.

Answer 1

2√3 is the answer litgle soul

Answer 2

Answer: Length of the ladder is 3.464 m.

Step-by-step explanation:

Since we have given that

Angle of elevation with the ground = 30°

Here, AC is the ladder .

Distance between the foot ladder from the wall = 3 m

We need to find the length of the ladder.

So, we will use "Cosine Rule":

$\cos 30^\circ=\dfrac{BC}{AC}\\\\\dfrac{\sqrt{3}}{2}=\dfrac{3}{AC}\\\\AC=\dfrac{3\times 2}{\sqrt{3}}=\dfrac{6}{\sqrt{3}}=2\sqrt{3}\ m=1.732\times 2=3.464\ m$

Hence, Length of the ladder is 3.464 m.