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# How do you label the angle of depression and angle of elevation? ?

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- Pramod KumarLv 72 months agoFavorite Answer
Angles of Depression or elevation are measured with respect to the horizontal line

passing through the point of observation.

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Refer to the following figure. Angle of

Elevation is CAO = 47° : Depression is OAB = 36°

We have to calculate Height of the building CB = x m (say)

Hence OC = (x-120) m , OB = 120 m

Tan (47°) = CO/AO = (x-120)/AO

=> (x-120)/AO = Tan 47°

=> AO = (x-120)/Tan 47° ..................(1)

From Triangle ABO : BO/AO = Tan 36°

=> AO = 1230/Tan36° .............. (2)

From (1) and (2) ---

(x-120)/Tan 47° = 120/Tan36°

=> ( x - 120 ) = 120 * [ Tan 47/Tan 36 ] = 177.1187

=> x = 297.1187 m ............ Answer

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