question_answer

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

A) 48 m

B) 36 m

C) 54 m

D) 72 m

Correct Answer: A

Solution :

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