Question

[Take 3 = 1.732)
10. On a horizontal plane there is a vertical tower with a flagpole on the top
of the tower. At a point, 9 metres away from the foot of the tower, the
angle of elevation of the top and bottom of the flagpole are 60° and 30°
respectively. Find the height of the tower and the flagpole mounted
on it. [Take 3 =1.73.]
[CBSE 2005]
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Answer 1

Answer:

ans will be 9 divided by root 3.

Answer 2

Step-by-step explanation:

In the figure flag pole is AB, BC is tower and CD is base.

In △ACD,

⇒  tan60o=DCAC

⇒  60=9AC

∴   AC=93m

In △DBC,

⇒  tan30o=DCBC

⇒  31=9BC

∴   BC=39=33m

⇒  AC=AB+BC

⇒  AB=AC−BC

⇒  AB=93−33=63m

∴  Height of the flag pole is 63m and that of tower is 33