Q. 25.0( 3 Votes )


A ladder is plac

Answer :


https://gs-post-images.grdp.co/user_files/63094/15047/images/extra-9_files/ima2.gif

Given:

Distance of the ladder from the wall, d = BC = 1.5 m

Angle of elevation, θ = 60°

To find: Height of the wall, h:

Solution:


Let AC be the ladder and B be the foot of the wall.


In right angled Δ ABC,

tan [θ] = Opposite / Adjacent

Here θ = 60°

And also the opposite side is AB and the adjacent side is BC

tan 60 o = AB/BC


tan 60 o = AB/BC


AB = BC tan 60 o

We know that BC = 1.5m


= 1.5 × (√ 3)

= 1.5 × 1.732


= 2.598 m


Therefore the height of the wall is 2.598 m.

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