You are hired as the navigator aboard the Blacktide, a vessel piloted by some of the...

  

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You are hired as the navigator aboard the Blacktide, a vessel piloted by some of the saltiest, scurvy scallywags you have ever met, but they pay well. Your mission is the sail into the Bermuda Triangle and recover the wreck of The Arabella, the lost pirate ship of the notorious Captain Blood. The ship was rumored to have been carrying a fortune in stolen gold from the Dutch province of St. Martin before sinking near the center of the mysterious Bermuda Triangle. Here is what you need to know about the Bermuda Triangle before going into this adventure: The Triangle itself is formed between three points: Miami, Florida (M), the island of Bermuda (B), and the capitol of Puerto Rico, San Juan (S). The island of Bermuda is roughly 1,035 miles N57°E of Miami, the city of San Juan is roughly 1,030 miles S68°E of Miami, and the distance from San Juan to Bermuda is roughly 954 miles. 1. As the Blacktide departs from its port in Miami heading toward the center of the triangle, you decide to do some quick calculations for the dimensions of the Bermuda Triangle. Draw a picture of the triangle given the dimensions and bearings above and determine all three angles inside of the Bermuda Triangle. Round to the nearest whole angle for all three. As you travel, you decide to watch the waves closely and do some calculations to see if there are any signs of a storm on the horizon. Waves in the ocean tend to average to about 10-15 feet high from the peak of the wave to the trough of the wave. When a large hurricane or tropical storm is within 100 miles of your current location, the waves tend to increase to 15-25 feet high or more. You time from one peak of a wave to another peak to determine the period of the wave function, which you estimate to be about 37. Further, you know that the average ocean depth in the current area is about 14,000 feet, which you use as the positive Vertical Shift. Lastly, you determine that cosine would be the best function to use, so that you do not have any phase shift to worry about. 3. Create the equation for the cosine wave in the following format: f(x) = A cos(cx) + B Using the point P(10, 14009), determine the value of the amplitude A in your function rounded to the nearest hundredth. Be sure that you are in radian mode in your calculator. Should you be worried about a tropical storm in the area? Graph one full cycle of this function. You are hired as the navigator aboard the Blacktide, a vessel piloted by some of the saltiest, scurvy scallywags you have ever met, but they pay well. Your mission is the sail into the Bermuda Triangle and recover the wreck of The Arabella, the lost pirate ship of the notorious Captain Blood. The ship was rumored to have been carrying a fortune in stolen gold from the Dutch province of St. Martin before sinking near the center of the mysterious Bermuda Triangle. Here is what you need to know about the Bermuda Triangle before going into this adventure: The Triangle itself is formed between three points: Miami, Florida (M), the island of Bermuda (B), and the capitol of Puerto Rico, San Juan (S). The island of Bermuda is roughly 1,035 miles N57°E of Miami, the city of San Juan is roughly 1,030 miles S68°E of Miami, and the distance from San Juan to Bermuda is roughly 954 miles. 1. As the Blacktide departs from its port in Miami heading toward the center of the triangle, you decide to do some quick calculations for the dimensions of the Bermuda Triangle. Draw a picture of the triangle given the dimensions and bearings above and determine all three angles inside of the Bermuda Triangle. Round to the nearest whole angle for all three. As you travel, you decide to watch the waves closely and do some calculations to see if there are any signs of a storm on the horizon. Waves in the ocean tend to average to about 10-15 feet high from the peak of the wave to the trough of the wave. When a large hurricane or tropical storm is within 100 miles of your current location, the waves tend to increase to 15-25 feet high or more. You time from one peak of a wave to another peak to determine the period of the wave function, which you estimate to be about 37. Further, you know that the average ocean depth in the current area is about 14,000 feet, which you use as the positive Vertical Shift. Lastly, you determine that cosine would be the best function to use, so that you do not have any phase shift to worry about. 3. Create the equation for the cosine wave in the following format: f(x) = A cos(cx) + B Using the point P(10, 14009), determine the value of the amplitude A in your function rounded to the nearest hundredth. Be sure that you are in radian mode in your calculator. Should you be worried about a tropical storm in the area? Graph one full cycle of this function.