The plane's heading is 4.61 degrees south of east, which is the direction the pilot needs to steer the plane in order to reach her objective and the trip takes 1.83 hours.
<h3>What is the distance?</h3><h3 />
Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Let the pilot's heading be theta south with an east direction. The resultant the velocity will be;
![\rm 400 sin(\theta) - 50 sin(40) = 0 \\\\\ \rm 400 sin(\theta) - 37.25 = 0 \\\\ \ \theta= sin^{-1}\frac{37.25}{400}\\\\ \theta = 4.61^0](https://tex.z-dn.net/?f=%5Crm%20400%20%20sin%28%5Ctheta%29%20-%2050%20%20sin%2840%29%20%3D%200%20%5C%5C%5C%5C%5C%20%5Crm%20400%20%20sin%28%5Ctheta%29%20-%2037.25%20%3D%200%20%5C%5C%5C%5C%20%5C%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%5Ctheta%3D%20sin%5E%7B-1%7D%5Cfrac%7B37.25%7D%7B400%7D%5C%5C%5C%5C%20%5Ctheta%20%3D%204.61%5E0)
Hence the direction of the plane heading is 4.61 degrees south of east
b)
The resultant speed of the plane(V)is found as;
![\rm V= 400 cos(4.61) + 50 cos(40)\\\\ V = 437 miles/hr \\\\ T = \frac{800}{437}\\\\ T = 1.83 hour\](https://tex.z-dn.net/?f=%5Crm%20V%3D%20400%20%20cos%284.61%29%20%2B%2050%20%20cos%2840%29%5C%5C%5C%5C%20V%20%3D%20437%20miles%2Fhr%20%5C%5C%5C%5C%20T%20%3D%20%5Cfrac%7B800%7D%7B437%7D%5C%5C%5C%5C%20T%20%3D%201.83%20hour%5C)
Hence, the trip takes 1.83 hours.
To learn more about the distance refer to the link;
brainly.com/question/26711747
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Answer is 4,400,000 kg • m/s
Setting fishing limits on certain fish species is essential because if overfishing is allowed, the fish won't be able to reproduce fast enough to outpace their removal. Fishing limits also put more emphases on catching other species, which protects the original species from predators.
The pressure of the gas is 686 mmhg.
If h = 89 mm
and atmospheric pressure = 775 mmhg
Pressure of the gas = ?
We can find the pressure of the gas by finding the difference between both values.
pressure of the gas = 775 mmhg - 89 mm = 686 mmhg