Question

Q. There is a small island in a river 18m wide and there is a tree on the island. Two men are standing at the opposite banks of the river facing the tree. They observe the angles
as 60° and 30° respectively. What is the height of the tree?​

Answer 1

Step-by-step explanation:

The height of the tree is 36.6 m

Answer 2

Step-by-step explanation:

distance between two men=18m

let height of tree be h

distance between first man and tree be x

distance between second man and tree be 18-x

now

tan=height/base

tan 60 =h/x

√3x=h

tan30 =h/18-x

18-x=√3h eq2

using eq1 and eq2

18-x=3x

x=4.5m

h=√3x

h=4.5√3 m