Trigonometric Equations Question 197

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^{o} $ . Then which of the following statements is correct

[MP PET 1994]

Options:

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 the above

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Answer:

Correct Answer: B

Solution:

  • $ \tan 45^{o}=\frac{h}{x}\Rightarrow x=h $ .