A boy standing at a distance of 48 meters from a building observes the top of the building and makes an angle of elevation of 30°.Find the height of the building.
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Hi ,
According to the problem given ,
distance from building to the boy = x = 48 m
angle elevation(α ) = 30°
Height of the building = h m
tan α = h/x
tan 30° = h/48
1/√3 = h/48
h = 48/√3
h = ( 48 × √3 )/3
h = 16√3 m
∴ Height of the building = h = 16√3 m
I hope this helps you.
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