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Home >> Trigonometry Ratios >> Find Height, Distance using T - Ratios >> Angle of Elevation >> Examples

Angle of Elevation and find Height & Distance : Solved Examples

Angle of Elevation Angle of Depression

At a point 20m away from the foot of a building, the angle of elevation of the top of building is 30° find the height of building
Let AB is the building. B is the foot and A is the top of building. C is the point on the ground at which the angle of elevation is 30°

so we get
CB = 20m
∠BCA = 30°
AB = ?



In the right △ ABC

We know that Tan θ = Opposite Side / Adjacent Side

tan 30° = AB
BC


  1  
 3 
= AB
20


By cross multiplying we get:

 3  AB = 20

AB =   20  
 3 


Now we will rationalize it

AB =   20  
 3 
x  3 
 3 


20 x  3 
     3


Value of  3  is 1.73 so,

20 x 1.73
      3


34.60
    3


AB = 11.53m is the height

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