Question

Two coconut trees are of equal heights and are standing opposite each other on either side of the

road, which is 100 m wide. From a point O between them on the road the angles of elevation of the top

of the trees are 60° and 30°, respectively. Find the height of the trees and the distances of the point O

from thetrees​

Answer 1

Step-by-step explanation Answer :h=203

Given

AB=ED=h,

BD=80

Let the given point be C

such that

BC=x and

CD=80−x

In ΔABC tan300= B C

A B

⇒ 31= xh

⇒ x= 3h

In ΔECD

tan600=

C D

E D

⇒

3

=

80−x

h

⇒ h= (80−

x)

3

Put the value

x=

3

h

we get

h= (80−

3

h)

3

⇒ h=

80

3

−

3h

⇒ 4h=

80

3

⇒ h=

20

3

Then, height of poles

h=

20

3