Question

The angle of elevation of the top of a town 30m hight from the foot of another tower in the same place in 60 degree and the angle of elevation of the top of the second tower from the foot of the first tower is 30 degree. Find the distance between the two tower and also the hight of the other tower

Answer 1

Answer:

Let h= height of second tower, d=distance between two towers

height of first tower = 30 m

From given data,

d

30

=tan60

∘

=

3

d

h

=tan30

∘

=

3

1

3

h=d,30=d

3

h=10 m, d=10

3

m

Therefore, height of the other tower is 10 m.

solution