An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is `30^(@)` , what is the speed of the aircraft ?

Options

A. `19.63ms^(-1)`
B. `1963 ms^(-1)`
C. `108ms^(-1)`
D. `196.3 ms^(-1)`

Answer

D

Explanation

Speed of aircraft
`v = (AB)/(t) = (3400 tan 30^@)/(10)`
` = (3400)/(10 sqrt3) = 196.3m//s`