From a window 15 meter high …
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Sia ? 6 years ago
Let the window be at P at a height of 15 metres above the ground and CD be the house on the opposite side of the street such that the angles of deviation of the top D of house CD as seen from P is of 30o and the angle of depression of the foot C of house CD as seen from P is of 45o.

Let h metres be the height of the house CD.
We have
QD = CD- CQ = CD -A P = ( h - 15) metres.
In △PQC, we have
tan 45o = QCPQ⇒1=15PQ⇒PQ=15 metres.
In △PQC, we have
tan30∘=QDPQ
⇒1√3=h−1515⇒h−15=15√3⇒h−15=5√3
⇒h=15+5×1.732=23.66metres.
Hence, the height of the opposite house is 23.66 metres.
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