MATH 101 AP Calculus AB - Module 10, Using Trig Functions Assignment.

Module 10, Using Trig Functions Assignment This summer you and your friend Mikhail are going to search for sunken treasure with a professional team of divers. You will help the team locate likely ar eas to search for the items you’ve been hired to find, plan out expeditions, and you will also travel with the team to carry out plans. Although there are many missions to complete, one specific item you have been hired to find is called The Cylinder of Fate. The cylinder is jewel-encrusted and supposedly it will bring the owner good luck in all aspects of life. According the legend, this treasure was lost when a pirate ship named The Howler sank in rough seas off the coast of a local island. You have read all the material you could find about The Howler and about The Cylinder of Fate. Based on this reading and some information about the sea floor and tides in the area where The Howler was thought to have sunk, you suggest that the team start by taking the search boat 65 meters due east of shore. At this distance the angle of depression between the shore and the hypothetical location of The Howler and its treasure should be about 30 ° . The search boat will be at the vertex of a 90° angle between the shore and the treasure below. Use this information and what you know about solving triangles using trigonometric functions to explore the questions below. 1. Draw a picture of the scenario described. Label the location of the shore, the search boat, the treasure, as well as the angles and lengths.