a ladder 25m long reaches a window of building 20m above the ground. determine the distance of the foot of the ladder from the building.

Question

a ladder 25m long reaches a window of building 20m above the
ground determine the distance of the foot of the ladder from the
building

Koka Sri Lakshmi Divya Sai · Accepted Answer

$Given Height of the bulding=20m Height of ladder=25m from the fig Δ PDA forms a right angled triangle by using pythogorous theorem \Rightarrow {AD}^{2} + {PA}^{2} = {PD}^{2} \Rightarrow (20)^{2} + {PA}^{2} = (25)^{2} \Rightarrow 400 + {PA}^{2} = 625 \Rightarrow {PA}^{2} = 625 - 400 \Rightarrow {PA}^{2} = 225 \Rightarrow PA=15 Distance of the foot of the ladder from the building=15m$

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