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Step-by-step explanation:
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Step-by-step explanation:
Let AP = 60 m be the height of the window.
CD = h m be the height of the house.
GIVEN:
∠QPD = 60°
∠QPC = 45° (angle of depression of the foot C of the house CD)
QD = CD - CQ
QD = CD - AP [CQ = AP]
QD = (h - 60) m
In ∆PQC,
=> tan 45° = QC/PQ = P/B
=> 1 = 60/PQ
=> PQ = 60 m
In ∆PQD ,
tan 60° = QD/PQ = P/B
√3 = (h-60)/60
60√3 = (h-60)
60√3 +60 = h
60(√3+1) = h
Hence, the height of the opposite house is 60(√3+1) m.
Hope it helps!
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