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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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 circle with radius 50 “paces” centered around the red rock, but decide against digging a trench 942 feet in circumference, especially with no assurance that the treasure is still there. (Note that a “pace” is about a yard.)

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 angle created between the palm tree, this point and the rock. 

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?

1. From the tallest palm tree, sight the highest hill. Drop
your e yes 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
Transcribed Image Text:1. From the tallest palm tree, sight the highest hill. Drop your e yes 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
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