Question

) Two poles having height a and b
are at distance p frem each other.
N is point of intersection of seg. SB
& seg AD. Show that d (N, C) = h,
ab
h =
a + b​

Answer 1

Step-by-step explanation:

Let the height of the two trees AB and CD be b and a respectively.

Distance between the trees BC = p

Let EF = h be the height of point of intersection of the lines joining the top of each tree to the foot of the opposite trees.

Let CF = x then BF = (p – x)

In Δ’s ABC� and EFC,

∠ABC = ∠EFC = 90°

∠C = ∠C (common angle)

∴ ΔABC ~ ΔEFC (By AA similarity theorem)

Similarly, ΔDCB ~ ΔEFB (By AA similarity theorem)

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