An airplane proceeds at a bearing of S30°E, flying at 540 miles per hour. (no explanations required) (a) State the angle θ in standard position which corresponds to the bearing S30°E
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A plane is flying at a speed of 540 miles per hour on a bearing of $\$ 36^{\circ} \mathrm{F}$. Its ground speed is 500 miles per hour and its true bearing is $\$ 44^{\circ} \mathrm{E}$. Find the speed, to the nearest mile per hour, and the direction angle, to the nearest tenth of a degree, of the wind.
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(10 pts) An airplane proceeds at a bearing of S30E, flying at 540 miles per hour. (No explanations required) State the angle θ in standard position which corresponds to the bearing S30E. (b) Find the easterly and southerly components of the airplane's velocity. That is, find the component form of the vector which has a magnitude of 540 and makes the angle θ with the positive x-axis. (Use the value of θ you stated in part (a)). State the exact values and also give approximations to the nearest mile per hour.
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