The Triangle:
1. To find the angle in between the two sides given, draw a North/South line at both Kahoolawe and Keawakapu. Draw in the two headings given in the boat route (35o departing from Kahoolawe, and 170o departing from Keawakapu). Add the two angles inside the triangle, 10o and 35o.
-Answer is 45o
2. To find the third side of the triangle, take the Law of Cosine plugging in the three values that have been found, and solve for the side.
-Answer = c2 = 112+62-(2*6*11*cos45o); c2 = 63.66; c = 8.0 miles
3. To find the angle of the triangle by Kahoolawe, take the Law of Sine.
-Answer = sin45o/8.0 = sinx/6; sinx = 6sin45o/8.0; sinx = .53; sin-1 of .53; angle = 32.0o
4. The third angle of the triangle can be found by adding the two other angles and then subtracting that total from 180.
-Answer = 180o -45o -32.0o = 103o
To find the heading from Makena to Kahoolawe draw a North/South line at Makena, and then take 360o and subtract the 103o found earlier from it.
-Answer = 360o -103o = 257o
Fuel Consumption:
Take 5.5 lbs. times by 2 miles/half gallon.
-Answer = 5.5 * 2/(1/2) = 22 miles
2. Add up the three sides of the triangle.
-Answer = 8.0 + 6 + 11 = 25 miles
3. Minus 25 miles from 22 miles.
-Answer = 22 – 25 = -3 miles
If reserves are used, take the 1 lb times by 2 miles/half gallon.
-Answer = 1 * 2/(1/2) = 4 miles
5. Add the reserve mileage to the 22 miles.
-Answer = 4 + 22 = 26 miles
6. Minus 25 miles from 26 miles.
-Answer = 26 – 25 = 1 mile
7. Mission is possible with reserves, impossible without reserves.
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