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CBSE Class 10 Answered

Height of the opposite house?
Asked by sonali221994 | 16 Dec, 2009, 11:52: AM
answered-by-expert Expert Answer

Tangent of the angle of elevation = Height of opposite house above that of window/Distance from the observer's window.

tan A = h/d

Similarly,

Tangent of the angle of depression = Height of opposite house below that of window/Distance from the observer's window.

tan B = H/d

The height of opposite house = H+h = d tanA + d tanB.

But d = H/tanB

The height of opposite house  = H/tanB (tanA + tanB) = H(tanAcotB + 1).

Regards,

Team,

TopperLearning.

Answered by | 17 Dec, 2009, 12:28: PM

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