Question

From the top of tower of 50 m high’ neha observe the angle of depression of the top and foot of another building to be 45 and 60 degree respectively. Find height of the building

Answer 1

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Answer 2

Height of building =  21.1 m

Step-by-step explanation:

Let say Horizontal Distance between tower & another buidling = d

Tan 60 = Height of tower/ Horizontal Distance between tower & another building

=> √3 = 50/d

=> d = 50/√3 m

Tan 45  = (height of tower - Height of building) / Horizontal Distance between tower & another building

=> 1  =  ( 50 - Height of building) / d

=> d = 50 - Height of building

=> 50/√3 = 50 - Height of building

=> Height of building = 50 -  50/√3

=> Height of building = 50(1 - 1/√3)

= 50(√3 - 1)/√3

= 21.1 m

Height of building =  21.1 m

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