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The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?

The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?
QuestionThe angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?
Typemultiple_choice
Option26 mcorrect
Option28 mincorrect
Option29 mincorrect
Option30 mincorrect
Solution:

Let AB be the height of tower and XA be the distance between point X and base of tower.

XA = 3XA – 90

– 2XA = – 90

Put the value of XA in equation (1) to find AB (height of tower).

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