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Given:
- There is a pole of height of 48m.
- It casts a shadow of length 16√3m.
To Find:
- The angle of elevation of the sun .
Answer:
Given that a pole of height 48m casts a shadow of length 16√3m .
(For figure refer to attachment)
Let us take that angle of elevation of sun is ∅ .
Now in ∆ABC ,
⇒tan∅ = perpendicular/base.
⇒tan∅ = BC/AB .
⇒tan∅ = 48m/16√3m.
⇒tan∅ = 16×√3×√3m / 16√3m .
⇒tan∅ = √3 .
⇒tan∅ = tan60°
On comparing ,
☞ ∅ = 60° .
Hence the angle of elevation of sun was 60°.
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