Ground speed

Algebra Level 2

An aircraft is flying with a heading due west and an airspeed of 105 105 knots. If there is a wind blowing from north at 18 18 knots, find the ground speed of the aircraft to the nearest knot.

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The answer is 107.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

:The ground speed is the resultant of the airspeed and the wind speed. Since the component vectors are perpendicular, we have

G r o u n d Ground s p e e d speed = 10 5 2 + 1 8 2 = = \sqrt{105^2 + 18^2} = 107 \color{#D61F06}107 k n o t s \color{#D61F06}knots

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