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Solve Apps: Polar Coordinates
-The Wind Is Blowing at 10 10knot10 - k n o t

Question 197

Multiple Choice

Solve Apps: Polar Coordinates
-The wind is blowing at 10 knots. Sailboat racers look for a sailing angle to the 10knot10 - k n o t wind that produces maximum sailing speed. In this application, (r,θ) ( r , \theta ) describes the sailing speed rr , in knots, at angle θ\theta to the 10 -knot wind. Four points in this 10 -knot-wind situation are (6.6,55) ,(7.4,80) ,(7.5,110) \left( 6.6,55 ^ { \circ } \right) , \left( 7.4,80 ^ { \circ } \right) , \left( 7.5,110 ^ { \circ } \right) and (7.3,130) \left( 7.3,130 ^ { \circ } \right) . Based on theses points, which sailing angle to the 10knot10 - \mathrm { knot } wind would you recommend to a serious sailboat racer? What sailing speed is achieved at this angle?


A) 110;7.5110 ^ { \circ } ; 7.5 knots
B) 130,7.3130 ^ { \circ } , 7.3 knots
C) 55;6.655 ^ { \circ } ; 6.6 knots
D) 80;7.480 ^ { \circ } ; 7.4 knots

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