Please just draw the diagram n show..no need it solve
From a point, 36m above the surface of a lake, the angle of elevation
of a bird is observed to be 30° and angle of depression of its image
in the water of the lake is observed to be 60°. Find the actual height
of the bird above the surface of the lake.
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Pls refer the above image. I have just Drawn it roughly. You can give the namings as per your convenience.
Hope this helps
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The actual height of the bird
above the surface of the lake is 48m.
• Let P be the point 36 m above the surface.
• L be the point on the lake(image of bird) at which angle of declination is 60°
• B be the point at which bird is present and angle of inclination is 30°
• Let M be a point on the line joining B and L such that PM is parallel to ground.
• So ML is also 36 m.
•Now, tan 60°= ML/PM
•√3 = 36/PM
• PM = 36/√3
• PM = 12√3
•Now, tan 30° = BM/PM
• 1/√3 = BM /(12√3)
• BM =12
•So total height = BM + ML
= 12 + 36
=48 m
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