1. Ship A leaves Port at noon and sails due South at six knots. B leaves the same port an hour later and sails on a heading of 120 degrees steady as six knots. At 2:00 PM, the bearing from ship a to ship b is ____?
2. A person flying a kite holds the string 5 ft above the ground. When 200 ft of string has been let out, and the of the string above the earth is 61 degrees, a pin falls out of the kite and straight to the ground. The distance in ft that the pin lands from the person flying the kite is closest to ____?
3. At 3PM standard time, in the sky above Alabama a honey bee heading 095 at 90 MPH and a hornet heading 005 at 90( 3 mph collided. Both were flying straight; the bearing from the hornet to the bee, right up to the moment they collided would have been ____
4. An angle of 0 degrees, 0'1.4", when converted to radians is : A. 1.4 x 10^-7 B 1.4 x 10^ -6 C 6.79 x 10 ^ -6 D 1.64 x 10^-3 e. 0.021
5. If the radius of the earth is 3963 miles , then the earths rotational speed in mi/hr at latitude 61 degrees north (at Anchorage, Alaska) is approximately ______.
6. .... And, the distance in mi on the surface of the earth from Anchorage to the North Pole is _____.
7. A man on a dock is pulling in a boat by means of a rope attached to
the bow of the boat 1 ft above the water and passing through a simple
puley located on the dock 8 ft above the water. If the boat is
originally 45 ft fromt he dock, and he pulls in the rope at 2ft/sec,
what is the angle between the rope and the water after 10 seconds?
8. How do I prove that [2cos[(3a+4b)/2]cos[(3a-4b)/2] all devided by
(tan3a+tan4b) equals [cos3acos4b - cos4b(cos4b)]?
9. [(2sec60tan5a)/(1 + (cos(10a)] * (sin10a/4)] + 1 = sec5a(sec5a). How
would I prove this?