The angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building.

QuestionThe angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building.
Typemultiple_choice
Option70 √3 mincorrect
Option75 √3 mincorrect
Option80 √3 mcorrect
Option85 √3 mincorrect
Solution :

Let the height of remaining part of building be X.

then,

120 + √3 X = 120*3

120 + √3 X = 360

√3 X = 360 – 120

√3 X = 240

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