Question

on a horizontal plane there is a vertical tower with a flagpole on the top of the tower. at a point 18 m away from the foot of the tower , the angles of elevation of the top and the bottom are complementary to each other. if the height of the flag pole is same as the height of tower then height of tower is​

Answer 1

Step-by-step explanation:

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

In △ACD,

⇒ tan60

o

=

DC

AC

⇒

60

=

9

AC

∴ AC=9

3

m

In △DBC,

⇒ tan30

o

=

DC

BC

⇒

3

1

=

9

BC

∴ BC=

3

9

=3

3

m

⇒ AC=AB+BC

⇒ AB=AC−BC

⇒ AB=9

3

−3

3

=6

3 m

∴ Height of the flag pole is 6

3 m and that of tower is 3

3 m.