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Answers
Given:
✰ The length of the shadow of a tower = 153 m
✰ Height of tower = 45 m
✰ Shadow of an electric pole = 20 m
To find:
✠ The height of an electric pole.
Solution:
Here in this question first make and visualize the diagrams as provided in the attachment. Have look at the diagrams and there we will find the value of DE and we know to find DE we will use tan θ, first find out tan θ in the first case of the tower and then substitute the value of tan θ in the second case of the electric pole to find out DE i.e, the height of an electric pole.
In ∆ABC
⟹ tan θ = AB/BC
⟹ tan θ = 153/45 ...①
In ∆DEF
⟹ tan θ = DE/EF
⟹ tan θ = DE/20 ...②
Substitute the value of eq① in eq②
⟹ 153/45 = DE/20
By cross multiplication method,
⟹ DE = (153 × 20)/45
⟹ DE = 3060/45
⟹ DE = 68 m
∴ The height of an electric pole = 68 m
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