Question

a 30 m high pole was standing at a point of the length side of rectangular garden.of the angles of elevation of that pole from the end points of that breadth are found 60 degree and 30 degree , find the length of that garden

Answer 1

so we get

CB (Distance from tree) = 5m

∠BCA = 60°

Right angle is at point B

AB (Height) = ?

A right angle triangle △ ABC is formed in which

AB is the Opposite Side from angle of elevation

BC is the Adjacent Side from angle of elevation

We know that Tan θ = Opposite Side / Adjacent Side

tan 60° = AB

BC

√ 3  = AB

10

AB = 10 x √ 3  

Value of √ 3  is 1.73 so,

AB = 5 x 1.73 = 8.65

AB = 8.65m is the height of tree