Question

The two palm trees are of equal heights and are standing opposite each
other on either side of the river, which is 80 m wide. From a point O
between them on the river 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 the trees.

Answer 1

Answer:

60 m

Step-by-step explanation:

Shaanu can't post this answer enn kanikya . Athonda Ss edth itte

Answer 2

Answer:

Let BD=river

AB=CD=palm trees=h

BO=x

OD=80-x

In ∆ABO,

Tan60˚=h/x

√3=h/x -----------------------(1)

H=√3x

In ∆CDO,

Tan 30˚=h/(80-x)

1/√3= h/(80-x) ---------------------(2)

Solving (1) and (2), we get

X=20

H=√3x=34.6

the height of the trees=h=34.6m

BO=x=20m

DO=80-x=80-20=60m

I HOPE IT HELPS!!!!