An aircraft is flying at a height of 3400mabove the ground . If the angle subtended at a ground observation point by the aircreaft positions 10.0 s apart is 30^(@) , what is the speed of the aircraft ?

An aircraft is flying at a height of 3400mabove the ground . If the an

1.	An aircraft is flying at a height of 3400mabove the ground . If the angle subtended at a ground observation point by the aircreaft positions 10.0 s apart is 30^(@) , what is the speed of the aircraft ?
Answer» Solution : LET A and B be the positions of the aircraft for which ` ANGLE ACB=30^(@)` Time TAKEN by the aircraft to go from A to B =10 s Here OC =3400 m `tan 15^(@)=(OA)/(OC)` `RARR OA=OC tan 15^(@)` `=3400xx0.267=907.8m` Speed of aircraft` =("Distance "AB)/("Time")` `=(2xxOA)/(10 s)=(2xx907.8)/(10)` `=181.56`m