The angle of depression of an object from a 60-m-high tower is 30˚. The Distance of the object from the tower is


Let the Distance of the object from the tower be x meters.


BC = x m


Given –


height of tower = AB = 60 m


Angle of depression = DAC = 30°


BCA = DAC = 30°


[ When two lines are intersected by a third line then the Alternate interior angles will be equal.]


Now, In Δ ABC


tan 30° = AB/BC = 60/x [ tan θ = perpendicular/base]


1/√3 = 60/x


x = 60√3 meters

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