If a 64 meter ladder is placed against a 32√2 meter wall such that it just reaches the top of the wall, the angle of elevation of the wall is -

Question: If a 64 meter ladder is placed against a 32√2 metre wall such that it just reaches the top of the wall, the angle of elevation of the wall is

Solution:
Given that
Ladder's length = 64 m
Wall's height = 32√2 m

Perpendicular = Wall's height = 32√2 m
Hypotenuse = Ladder's length = 64 m

We know
Sinθ = Perpendicular/Hypotenuse
⇒ Sinθ = 32√2/64
⇒ Sinθ = 1/√2
⇒ Sinθ = sin 45º
∴ θ = 45º