Q5 of 45 Page 137

A storm broke a tree and the treetop rested 20 m from the base of the tree, making an angle of 60° with the horizontal. Find the height of the tree.


Let AB be a tree, and C is the point of break.


Height of tree = BC + AC


As, the treetop is rested 20 m from the base, making an angle of 60° with the horizontal.


In ∆ABC


AB = 20 m


∠ABC, θ = 60°


Now,




⇒ AC = 20 tan 60°


⇒ AC = 20√3 m





⇒ BC = 40 m


Height of tree = BC + AC = (40 + 20√3) meters.


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