Question

the angle of elevation of a vertical Tower observed from the age of a road on the side near the tower is 60° the angle of elevation is Hafte when the tower is observed from the age on the other side of the road if the road is 60 M wide find the height of the tower​

Answer 1

Answer:

the height of the tower​ = 30√3 m   ≈ 52 m

Step-by-step explanation:

Let say Nearer edge = d m from Tower Base

Tower height = T m

Tan 60 = Tower Height / Distance from Tower Base

=> √3 =  T / d

=> d = T/√3

Tan 30 = T/ (d + 60)

=> 1/√3  =  T/(d + 60)

=> d + 60  = T√3

=> T/√3 + 60 = T√3

=> T ( √3 -  1/√3)  = 60

=> T (3 - 1) = 60√3

=> T  = 30√3

the height of the tower​ = 30√3 m  ≈ 52 m