Question

A boy standing on the top of the tower 20 metre high so the top of a building at an elevation of 50 degree and its base at a depression of 30 degree

Answer 1

Building Height = 61.22 m

Step-by-step explanation:

A boy standing on the top of the tower 20 metre high

=> tower Height = 20 m

Angle of Depression at Base of Building = 30°

=> Tan30° = Tower height / Horizontal Distance between tower  & Building

=> 1/√3 = 20/Horizontal Distance between tower  & Building

=> Horizontal Distance between tower  & Building = 20√3  m

= 34.64 m

Top of building at angle of elevation of 50°

=> tan 50° = ( Building Height - Tower Height)/ Horizontal Distance between tower  & Building

=> 1.19 = (Building Height - 20)/34.64

=> Building Height - 20 = 41.22

=> Building Height = 61.22 m

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