Question

the angle of elevation of the top of an unfinished tower at a point distance 80 m from its Base is 30 degree. How much higher must the tower be raised so that it's angle of elevation at the same point may be 60 degree?

Answer 1

The raised height of tower is
$160 \sqrt{3} \div 3$m

Answer 2

Let AB be the unfinished tower and let Ac be the complete tower.Let O be the point of observation.

Than, OA=75m, angle AOB=30 and angle AOC=60 Let AB=h meter and AC=H meter

AB=tan60

H/75=1/root3

=H=75×root3m

Hence, the required height is (H-h)m=(50root3)m

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