Let the river breadth be x and tree height be y. From the bank: tan60=y/x, so y=x3. From 24 m away: tan30=y/(x+24), so y=(x+24)/3. Equating: x3=(x+24)/3, giving 3x=x+24, so x=12 m.
A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60 degrees on his side of bank. When he moved away 24m from the bank, he finds the angle to be 30 degrees. Find the breadth of the river:
Held on 15 Jun 2023 · Verified 13 Jul 2026.
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