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A person standing on the bank of river finds that the angle of elevation of the top of a tower on opposite side bank is 45°. Which of the following statement is correct
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- Breadth of the river is half of the height of the tower
- Breadth of the river and the height of the tower are equal
- Breadth of the river is twice the height of the tower
- None of these
Correct Option: B
Let us draw a figure below as per given question.
Let AB = h m be the height of the tower, BC = x m be the breadth of the river and also ∠ACB = 45°
Now from right triangle ABC
tan 45° = h/x ⇒ 1 = h/x
∴ x = h
Hence, breadth of the river = height of the tower
