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 = [tex]\dfrac{\textrm base}{\textrm hypotenuse}[/tex]
Or, cos 60° = [tex]\dfrac{\textrm d}{\textrm h}[/tex]
Or, 0.5 = [tex]\dfrac{\textrm 4.6}{\textrm h}[/tex]
∴ h = [tex]\dfrac{\textrm 4.6}{\textrm 0.5}[/tex]
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
