Trigonometric Equations Question 141

Question: A house of height 100 metres subtends a right angle at the window of an opposite house. If the height of the window be 64 metres, then the distance between the two houses is

Options:

A) 48 m

B) 36 m

C) 54 m

D) 72 m

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ 64\cot \theta =d $ Also $ (100-64)\tan \theta =d $ or $ (64),(36),=d^{2} $ ,
    $ \therefore $ $ d=8\times 6=48 $ m.