1. From the tallest palm tree, sight the highest hill.Drop your eyes vertically until you sight the base of the hill. 2. Turn 40° clockwise from that line and walk 70 paces to the big red rock. 3. From the red rock walk 50 paces back to the sight line between the palm tree and the hill. Dig there. Highest point Base of hill 50 paces Red rock 40 70 paces Palm tree
Suppose that in between surf sessions on Oahu, you decide to try scuba diving with a group of friends. During the dive, you come across a sunken pirate ship. Amongst the ruins of the ship, a bottle contains the following list of directions along with a map to a treasure on the island of Kahoolawe. The directions and the map read as follows:
Upon traveling to Kahoolawe, you and your friends believe that you have found the red rock and the highest hill in the vicinity, but the “tallest palm tree” had long since fallen and disintegrated. You realize that the treasure must be located on a
a.) Determine a plan to locate the position of the lost palm tree. Get creative here but try to use your new found trig abilities.
b.) Using Law of Sines, find the
c.) Using the information from part b, find another solution using Law of Sines. This is the location of the treasure. Where is the treasure? How far is from the Palm Tree?
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