Question

The angels of elevation of a ladder against a wall is 60 degree and the foot of the ladder is 4.6 m away from the wall.The length of the ladder is

Answer 1

Answer:

The length of the ladder is 9.2 meters

Step-by-step explanation:

Given as :

The angels of elevation of a ladder against a wall = 60°

The Distance of the foot of the ladder fro the wall = d = 4.6 meters

Let The length of the ladder = h meters

Now, According to question

cos angle = $\dfrac{\textrm base}{\textrm hypotenuse}$

Or, cos 60° = $\dfrac{\textrm d}{\textrm h}$

Or, 0.5 = $\dfrac{\textrm 4.6}{\textrm h}$

∴  h = $\dfrac{\textrm 4.6}{\textrm 0.5}$

i.e h = 9.2

So,The length of the ladder = h = 9.2 meters

Hence The length of the ladder is 9.2 meters Answer