Question

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is $45 ^ { \circ }$. Then which of the following statements is correct

• A. Breadth of the river is twice the height of the tower
• B. Breadth of the river and the height of the tower are the same
• C. Breadth of the river is half of the height of the tower
• D. None of these

Answer 1

Answer: (B)

Breadth of the river and the height of the tower are the same

Answer 2

AB is tower and BC is river. From $\triangle A B C , \frac { A B } { B C } = \tan 45 ^ { \circ }$ or $A B = B C$

Height of tower = Breadth of river.