SOLUTION: An aeroplane can fly at 250km\h in still air. How long will it take it to reach a place 500 km to the south-west if a wind is blowing at 80k
m\h from west
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m\h from west
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Question 775651: An aeroplane can fly at 250km\h in still air. How long will it take it to reach a place 500 km to the south-west if a wind is blowing at 80k
m\h from west
You can put this solution on YOUR website! An aeroplane can fly at 250km\h in still air. How long will it take it to reach a place 500 km to the south-west if a wind is blowing at 80k
m\h from west
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A heading adjustment is needed into the wind to give a ground track of 225 (southwest).
The angle between the wind direction and groundtrack is 135 degs.
Use the Law of Sines to find the heading correction.
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250/sin(135) = 80/sin(A)
sin(A) = 80*sin(135)/250
A = 13.0778 degs --> 13 degs
The 3rd angle, B = 180 - (A + 135)
B = 32 degs
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Use the Law of Sines again to find AC, the groundspeed
250/sin(135) = AC/sin(32)
AC = 186.95 km/hr (the plane's groundspeed on a track of 225 degs)
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500/AC =~ 2.67 hours
