1. Choose the corresponding Greek letter name from the answer list in the right hand column: 

   _____ γ _____ α _____ θ _____ φ _____ π _____ β

   theta pi alpha gamma beta phi

   
   
2. Choose the corresponding radian measure from the answer list in the right hand column.  Note that some answers may be used more than once while some may not be used: 

   _____ Right angle measure _____ Sum of 2 supplementary angle measures _____ Sum of the 3 interior angle measures          for a triangle _____ Angle measure of one revolution _____ Sum of 2 complementary angle measures _____ Straight angle measure _____ Measure of any one interior angle          for an equilateral triangle _____ Sum of the 4 interior angle measures          for a rectangle

   0 rad π/6 rad π/4 rad π/3 rad π/2 rad 2π/3 rad π rad 2π rad

   
   
3. The angular unit of measurement defined as one radian is _______ than one degree.

   less than greater than

   equal to none of the above

   
   
4. A nautical mile (n-mi) is the distance along the Earth's surface equal to the arc length subtended by an angle of 1' and whose vertex is positioned at the center of the Earth.
   1. Determine the number of (statute) miles equivalent to one n-mi.
   2. A speed of 1 knot is defined as 1 n-mi per hr.  The top speed of the USS Missouri battleship is approximately 33 knots.  Find the Mighty Mo's maximum speed when measured in:    (i)   mi/hr  (ii)   km/hr  (iii)   ft/sec
   
   
5. The Pentagon Building in Arlington, VA. (near Washington, D.C.) is the headquarters for the U.S. Dept. of Defense.  It is one of the world's largest office buildings, and was constructed (in the 1940's) in the shape of a "regular" pentagon.
   1. What is the sum of the degree measures of its interior angles?
   2. What is degree measure of any one of the interior angles?
   
   
6. What is the sum of the degree measures of the interior angles for:
   1. a hexagon?
   2. an octagon?
   3. a "n-sided" polygon?
   
   
7. With a ruler and a protractor (to the measure angles) draw each of the following:
   1. an "equilateral" triangle whose sides each measure 2¾ in in length.
   2. a "regular" pentagon whose sides each measure 5 cm in length.
   3. a "regular" hexagon whose perimeter is 1'.
   
   
8. What is the Earth's "angle of inclination" when measured in:

   a.  decimal degrees

   b.  DMS

   
   
9. Give the latitude for each of the following:
   1. North Pole 
   2. Arctic Circle 
   3. Tropic of Cancer 
   4. Equator 
   5. Tropic of Capricorn 
   6. Antarctic Circle 
   7. South Pole 
   
   
10. Let α = 90°, β = 66°30', and θ = α - β.  What is the measure of angle θ:

    a.  in DMS?

    b.  in decimal degrees?

    
    
11. What is the quantitative "relationship" between the various latitudes of exercise #9 (above) and the Earth's angle of inclination?
    
    
12. Hilo, HI is located at 19°42' N latitude.  How far is the North Pole from Hilo?
    
    
13. Manila, P.I. is located at 14°35' N latitude.  How far is the South Pole from Manila?
    
    
14. Give the longitude for each of the following:
    1. the Prime Meridian (a.k.a. the Greenwich Meridian) 
    2. the (idealized) International Date Line 
    
    
15. How many degrees does the Earth rotate in one (1) __________?

    a.  hour

    b.  minute

    
    
16. The Earth's surface is divided into 24 time zones (e.g. in the U.S., Eastern, Central, ..., Hawaiian, etc.).  What is the angular separation or difference in degrees between the (idealized) boundaries of adjacent times zones?
    
    
17. How long does it take the Earth to rotate _______ degree(s)?

    360 180 90 45

    15 10 1 ½

    
    
18. Tokyo, Japan is located at 35°41' N latitude, 139°46' E longitude, while Sante Fe, NM is located at 35°37' N latitude, 106°5' W longitude.  How much time difference is there between when the sun sets in Sante Fe and later when it sets in Tokyo?
    
    
19. Atlanta, GA is located at 33°45' N latitude, 84°23' W longitude, while Long Beach, CA is located at 33°47' N latitude, 118°11' W longitude.  If the sun set at 5:45 p.m. in Long Beach (Pacific Time), then:
    1. How much time after sunset in Atlanta did the sun set in Long Beach?
    2. At what (local) time, to the nearest minute, in Atlanta (Eastern Time) did sunset occur?
    
    
20. St. Louis, MO is located at 38°37' N latitude, 90°12' W longitude, while Sacramento, CA is located at 38°35' N latitude, 121°29' W longitude.  If it is 6:15 a.m. when the sun rises in St. Louis (Central Time), then:
    1. How much time elapses before the sun rises in Sacramento?
    2. At what (local) time, to the nearest minute, in Sacramento (Pacific Time) will sunrise occur?