A house subtends a right angle at the window of a opposite house and the angle of elevation of the window from the bottom of the first house is 60 . If the distance between two houses be 6 m , then th

Question

A house subtends a right angle at the window of a opposite house and the angle of elevation of the window from the bottom of the first house is 60 . If the distance between two houses be 6 m , then the height of the first house is

TestHub · Accepted Answer

Let PQ be the house subtending a right angle at the window B of opposite house A B In △ P A B , we have tan 6 0 ∘ = 6 A B ​ = A B = 6 3 ​ m In △ CBQ , we have tan 3 0 ∘ = BC h − CP ​ ⇒ ⇒ ⇒ ​ 3 ​ 1 ​ = 6 h − 6 3 ​ ​ [ ∵ A B = CP , BC = A P ] h = 6 ( 3 ​ + 3 ​ 1 ​ ) h = 8 3 ​ m ​

Mathematics - Heights and Distances Question with Solution | TestHub

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