Let AB be the tree and AC be its shadow, So as per question, the shadow of a tree is âˆš3 times the height of the tree.
Lets assume h be the height of the tree.
AB/AC = tanÎ¸
=> h/âˆš3h = tanÎ¸
=> tanÎ¸ = 1/âˆš3
So, Angle = 30âˆ˜
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On the two sides of a road are two tall buildings exactly opposite to each other. The height of the taller building is 60 m. If the angle of elevation from the top of the smaller building to the top of the taller one is 30Â° and the angle of depression from top of the taller building to the foot of the smaller one is 30Â°, then find the height of the smaller building.
Let AB be the taller building of height 60m and CD be the smaller one of height h m.
tan30= DB/AB = DB/60 = 1/v3
DB = 34.64 m
tan30= AE/CE = AE/DB = 1/v3 = AE/34.64
AE = 60 - h = 20
h = 40 m
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