Mathematics: 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

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The angels of elevation of a ladder against a wall

gracelong4326

14.01.2022

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

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