Question

EXEN
24 From a point on the ground the angles of elevation of the bottom and top of a
transmission tower fixed at the top of 20 m high building are 45° and 60° respectively.
Find the height of the transimission tower.
INCERT)​

Answer 1

Answer:

ANSWER

Let DC be the tower and BC be the building. Then,

∠CAB=45

o

,∠DAB=60

o

,BC=20 m

Let height of the tower, DC=h m.

In right △ABC,

tan45

o

=

AB

BC

1=

AB

20

AB=20 m

In right △ABD,

tan60

o

=

AB

BD

3

=

20

h+20

h=20(

3

−1) m

solution