An aircraft is flying along a horizontal path PQ directly towards an observer on the ground at O and maintaining an altitude of 3000m. When the aircraft is at P, the angle of depression is 30 and when at Q, the angle of depression is 60. Find the distance of PQ.

Dear student,

In AQBtan 60°=BQAB3=3000ABAB=30003 mIn APCtan 30°=PCAC13 =3000ACAC=30003 Now, BC=AC-ABBC=30003-30003BC=30003-13BC=30003-13BC=3000×23BC=60003×33BC=600033BC=20003 mbut from fig, PQ=BCPQ=20003mPQ=2000×1.73 mPQ=3460 m



  • 15
Hope it helps

  • 8
What are you looking for?