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will be -7°; therefore, the true heading will be 340° -7°=333° true.

h. Exercises.-Find heading and air speed, given scheduled ground speed, course, wind speed, and wind direction:

(1) GS=185, C=110°, WS=35, WD=172° (2) GS=232, C=351°, WS=47, WD=33°

AS=269, H=358° Answer. (3) GS=129, C=186°, WS=38, WD=243°

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(4) GS=189, C= 27°, WS=42, WD=165°

AS=160, H=37° Answer. (5) GS=165, C=223°, WS=21, WD=267° (6) GS=215, C=271°, WS=48, WD=316°

AS=252, H=279o Answer. APPENDIX I

MISCELLANEOUS UNITS AND CONVERSION FACTORS

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1. Formulas.
a. Area of circle, radius=r, is (n=3.1416).
b. Area of rectangle, width=w, and length=l, is wl.
c. Area of triangle, base=b, and altitude=h, is bh/2.
d. Volume of sphere, radius=r, is % r(n=3.1416).
e. Volume of prism, area of base=A, height=h, is Ah.
2. Conversion factors.
66 nautical miles

=76 statute miles=122 kilometers

(approximate)
1 centimeter (cm.) =0.393700 inch (in.)
1 foot (ft.)

=12 inches (in.)

=30.4801 centimeters (cm.) 1 inch (in.)

=2.54001 centimeters (cm.) 1 kilometer (km.) =1,000 meters (m.)

=0.62137 statute mile (mile, stat.) =0.53959 nautical mile (mile, naut.)

=3280.83 feet (ft.)
1 meter (m.)

=100 centimeters (cm.)
=1,000 millimeters (mm.)
=3.28083 feet (ft.)

=39.3700 inches (in.)
1 millimeter (mm.) =0.039370 inch (in.)
1 nautical mile (naut.) =6,080.20 feet (ft.)

=1.151553 statute miles (miles, stat.)

=1.853249 kilometers (km.)
1 statute mile

=5,280 feet (ft.)
=1.60935 kilometers (km.)

=.868393 nautical mile
1 U. S. gallon (gal.) =231 cubic inches (cu. in.)

=.13368 cubic foot (cu. ft.)

=.83310 British gallon
1 cubic foot (cu. ft.) =1,728 cubic inches (cu. in.)

=7.4805 United States gallons (gal.)
1 kilometer per hour=0.62137 statute mile per hour
(km./hr.)

0.53959 knot 1 knot

=1 nautical mile

per

hour

=1.853249 km./hr.

=1.151553 mph, or miles/hr.
1 statute mile per hour=1.4666 feet per second
(mph, or mile/hr.) =1.60935 km./hr.

=0.868393 knot 3. Temperature scales.

Freezing: 0° C.=32° F. =273° K. (Absolute)
Boiling: 100° C.=212° F.=373° K. (Absolute)

Co=5%(Fo—32).
Fo=%C° +32.

Ko=C° +273. 4. Time equivalents.

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MIDNIGHT

Cairo
New York (EWT) 2100

0300
Chicago (CUT)

Next day Denver (MWT) 1800

0600 San Francisco (PWT)

1500

0900 MIDDAY

-Tokyo

FIGURE 150,

NOTE.—Time given for Tokyo is standard time. Difference in standard time between New York and Tokyo is 14 hours.

5. Densities.

Gasoline (aviation) weighs 45 lb./cu. ft. or 6 lb./gal.
Oil (aviation) weighs 56 lb./cu. ft. or 7.5 lb./gal.
Water weighs 62.4 lb./cu. ft. or 8.34 lb./gal.
Air (dry) weighs.0765 lb./cu. ft. at 15° C. (59° F.) and standard

atmospheric pressure.

APPENDIX II
TABLES OF LOGARITHMS AND TRIGONOMETRIC

FUNCTIONS
TABLE I. -Common logarithms

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45 46 47 48 49

6532 6628 6721 6812 6902

6542
6637
6730
6821
6911

6551
6646
6739
6830
6920

6561
6656
6749
6839
6928

6571 6665 6758 6848 6937

6580 6675 6767 6857 6946

6590
6684
6776
6866
6955

6599
6693
6785
6875
6964

6609
6702
6794
6884
6972

6618 6712 6803 6893 6981

1.0 .9 .9 .9 .9

50 51 52 53 54

6990
7076
7160
7243
7324

6998
7084
7168
7251
7332

7007
7093
7177
7259
7340

7016 7101 7185 7267

7024 7110 7193 7275 7356

7033 7118 7202 7284 7364

7042 7126 7210 7292 7372

7050 7135 7218 7300 7380

7059 7143 7226 7308 7388

7067 7152 7235 7316 7396

.9 .8 .8 .8 .8

7348

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95 96 97 98 99

9777
9823
9868
9912
9956

9782
9827
9872
9917
9961

9786
9832
9877
9921
9965

9791
9836
9881
9926
9969

9795
9841
9886
9930
9974

9800
9845
9890
9934
9978

9805
9850
9894
9939
9983

9809
9854
9899
9943
9987

9814
9859
9903
9948
9991

9818
9863
9908
9952
9996

.4 .4 4

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