A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60° on his side of Bank. When he moved away 24 m from the bank, he finds the angle to be 30°. Find the breadth of the river:
Answer & explanation
Correct answer: option 1
Assume breadth of the river be x
h/x = tan 60
h = x tan 60
Also, h/(x+24) = tan 30
x tan60/(x+24) = 1/√3
x √3 / (x+24) = 1/√3
x+24 = 3x
2x = 24
x = 12
The correct answer is Option (1) → 12