10.Jill is planning to sail from Miami, FL to the island of Bimini in the Bahamas,...

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10.Jill is planning to sail from Miami, FL to the island of Bimini in the Bahamas, located 45 nautical miles (NM) due EAST of Miami. To reach Bimini, she must cross the Gulf Stream current running northbound between Miami and Bimini. (See navigation layout below.) Miami West North Miami to Bimini distance= 45 NM thout South) = ? V(boat East) = ? South V (boat over water) 5 kt (Gulf Stream) = 3 kt Bimini 1 knot = 1 nm/hr. (1 nautical mile/hour) 1 nautical mile = 1.15 miles 1 mile = 1609 meters = 1.609 Km East In order to compensate for the current that pushes the boat northbound, Jill must steer a course 0 degrees South of East so that the southbound component of the boat's velocity will be equal in magnitude but in opposite direction to the northbound speed of the Gulf Stream current. The speed of her sailboat is 5 knots. The Gulf Stream current between Miami and Bimini is 3 knots due North. a. How many degrees 0 South of East should Jill steer the boat. b. What will be her eastbound speed Vboat x in knots? c. How long will it take her to reach Bimini? d. What was the Gulf Stream current speed in Km/hr.? HINTS & UNIT CONVERSION FACTORS: Make your calculations in nautical miles and knots except at the end, to answer question d. 10.Jill is planning to sail from Miami, FL to the island of Bimini in the Bahamas, located 45 nautical miles (NM) due EAST of Miami. To reach Bimini, she must cross the Gulf Stream current running northbound between Miami and Bimini. (See navigation layout below.) Miami West North Miami to Bimini distance= 45 NM thout South) = ? V(boat East) = ? South V (boat over water) 5 kt (Gulf Stream) = 3 kt Bimini 1 knot = 1 nm/hr. (1 nautical mile/hour) 1 nautical mile = 1.15 miles 1 mile = 1609 meters = 1.609 Km East In order to compensate for the current that pushes the boat northbound, Jill must steer a course 0 degrees South of East so that the southbound component of the boat's velocity will be equal in magnitude but in opposite direction to the northbound speed of the Gulf Stream current. The speed of her sailboat is 5 knots. The Gulf Stream current between Miami and Bimini is 3 knots due North. a. How many degrees 0 South of East should Jill steer the boat. b. What will be her eastbound speed Vboat x in knots? c. How long will it take her to reach Bimini? d. What was the Gulf Stream current speed in Km/hr.? HINTS & UNIT CONVERSION FACTORS: Make your calculations in nautical miles and knots except at the end, to answer question d.