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Chellseaembajadorgo
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from the top of the tower 20 m high a woman is observing the base of a tree at an angle of depression measuring 30 degree find the distance between the tree and the flower?


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TUSK01go

-TUSK01

The distance between tree and tower is 30√3 m

Step-by-step explanation:

Given that

  • Height of tower (H) = 30 m

          Distance between from base of tree to tower = B = Unknown
            Angle of depression (∠α) = 30°

  • We know that

         Angle of elevation = Angle of depression

        Angle of elevation = ∠α      
        Angle of elevation =  30°

 
Now from trigonometric relation

   
 tan @ = H|B

tan 30 = 30|B

[tex]\sqrt[1]{3}[/tex] = 30|B

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