question_answer

Directions: Q. 1 to 5

Two jet plane leave an airport, one after the other. After moving on runway, one flies due North and other flies due South. The speed of two aeroplanes is 400 km/h and 500 km/h respectively.

Considering PQ as runway and A and B are any two points in the path followed by two jet planes, then answer the following questions.

Find \[\tan \theta \]; if \[\angle APQ=\theta \].

A) \[\frac{1}{5}\]

B) \[\frac{2}{3\sqrt{2}}\]

C) \[\frac{\sqrt{3}}{2}\]     

D) \[\frac{3}{5}\]

Correct Answer: D

Solution :

In \[\Delta APQ\], \[\angle APQ=\theta\]

\[\tan \theta =\frac{AQ}{QP}\Rightarrow \tan \theta =\frac{1.5}{2.5}=\frac{3}{5}\]