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  • 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 10.0 s apart is 30°, what is the speed of the aircraft?

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 10.0 s apart is 30°, what is the speed of the aircraft?

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best_answer

The given situation is shown in the figure:-

                              Motion in a plane , 20230

For finding the speed of aircraft we just need to find the distance AC as we are given t = 10 sec.

Consider Delta ABD,

                                          an 15^circ = fracABBD

                                           AB = BD imes an 15^circ

or                                       AC = 2AB = 2BD imes an 15^circ

or                                                  = 2 imes 3400 imes an 15^circ

or                                                  = 1822.4 m

Thus, speed of aircraft  :

                                            = frac1822.410 = 182.24 m/s

Posted by

Deependra Verma

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