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A tower stands on a horizontal plane and surmounted by vertical flagstaff of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are A and B respectively, find the height of the tower ? Please answer guys |
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Answer» Step-by-step explanation:LET height be y ΔOAC tanθ= B P tanβ= OA CA tanβ= X y+h (y+h)→ Let AB, AB+BC Let OA→ x x=[ tanβ y+x ] Consider ΔOAB tanα= x y = Base PERPENDICULAR x= tanα y tanα y = tanβ y+h ytanβ=tanαy+tanαh ytanβ−tany=tanαh y(tanβ−tanα)=tanαh y= tanβ−tanα htanα |
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