please answer with a figure aswell
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HOPE IT HELPS YOU.......
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Step-by-step explanation:
Let AB,CD be the two poles and BC be the width of the river.
∠ADE = 30° and ∠ACB = 60°, AB = 60 m.
(i) In ΔABC:
tan 60° = (AB)/BC
⇒ √3 = 60/BC
⇒ BC = (60/√3)
⇒ BC = 34.64 m
(ii) In ΔAED:
tan 30° = (AE)/AD
⇒ (1/√3) = (60 - DC)/60/√3
⇒ 60/3 = 60 - DC
⇒ -120/3 = -DC
⇒ DC = 40 m
Therefore, Width of the river = 34.64 m and height = 40 m.
Hope it helps!
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