Two aero planes flying in opposite directions are at points A and B 3000 m high from the ground When...........

Quantitative Aptitude ( CCS) Trignometry

Two aero planes flying in opposite directions are at points A and B, 3000 m high from the ground. When the pilots look at a point P on the ground, the angles of depression made by them are 300 and 600 respectively. Find the distance between the two aero planes.

6925.4m

7546.8m

6952.6m

5243.7m

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Explanation:

The planes are at point A & B.
In ΔADP, AD/DP =tan 30⁰
Height And Distances Solved
→ 3000/DP =1/√3
→ DP = 3000√3m
Again in ΔBPC, tan 60⁰=3000/PC
→ √3 = 3000/PC
→ PC = 3000/√3
The distance between the planes = 3000√3 + 3000/√3 = 12000/√3 =6928.4 m