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A small airplane flies with a speed relative to the ground (ground speed) of 216

ID: 2132826 • Letter: A

Question

A small airplane flies with a speed relative to the ground (ground speed) of 216.0 km/h in a direction 16.0 degrees to the east of north. If the plane is headed due north and the deviation from that direction is due to a cross wind blowing from west to east, what is the speed of the wind (in km/h)?


A small airplane flies with a speed relative to the ground (ground speed) of 216.0 km/h in a direction 16.0 degrees to the east of north. If the plane is headed due north and the deviation from that direction is due to a cross wind blowing from west to east, what is the speed of the wind (in km/h)?

Explanation / Answer

The wind speed v can be calculated from sin(16) = v/216

so v = 216km/h*sin(16) = 59.54 km/h