Homework Help: math

Posted by Theresa on Saturday, October 31, 2009 at 7:03pm.

if I am traveling by plane from Marshfield to Minnepolis (150 Statue miles) which equals 172.5 nautical miles. Our true course is set at 207 degrees. Theresa os a wind blowing from 90 degrees at 10 knots. Normally the plane travels at 100 knots per hour, but the wind will affect speed.

the questions is, how fast we will travel? amd how long to fly the 150 statue Miles to Minneapolis?

math - Reiny, Saturday, October 31, 2009 at 8:22pm
I made a vector diagram and called the magnitude of the resultant x
x^2 = 10^2 + 100^2 - 2(10)(100)cos117
= 11548.19
x = 107.46 knot

so the time is 172.5/104.46 = 1.605 hours
or 1 hour and 36 minutes.

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