Joseph sails from a point A on a bearing of N40°E for 3 km to a point B. At B the Joseph alters course and sails for 5 km on a bearing of N160°E to a point C. Find the distance AC and the bearing of A from C.

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.3 km, but when the snow clears, he discovers that he actually traveled 8.4 km at 46° north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number i Units km (b) Number i Units ° (degrees)

A ship sets out to sail to a point 142 km due north. An unexpected storm blows the ship to a point 130 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination?

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A plane is flying with an airspeed of 325 mph is headed in the direction 86.7°. The wind currents are running at a constant 73.4 mph at 272.7°. Find the ground speed and true course of the plane. Round your answer is to the nearest whole number for speed into one decimal place for the angle mi/hr at ° from due north

An air traffic controller notices two signals from two planes on the radar monitor. One plane is at altitude 800 m and in a 19.2-km horizontal distance to the tower in a direction 25° south of west. The second plane is at altitude 1100 m and its horizontal distance is 17.6 km and 20° south of west. What is the distance between these planes?

An air traffic control tower radar operator locates a plane at a distance of 16.9 miles at a heading of 065° relative to the tower. Forty-five (45) seconds later, the operator locates the same plane at a distance of 19.1 miles at a heading of 073 Find the speed of the airplane and the heading along which it is traveling.

If you project a tennis ball at speed v0 on a horizontal surface, what must the angle of the projection be to get the maximum area under the trajectory? What is the area? Hint: A = ∫ydx

You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 97.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 28° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B. 182.43 x m Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric relationships. eBook

Ship A leaves a port and stations itself at a distance 41 km to the northeast. Ship B leaves from the same port and stations itself 33 km to the west. Find the distance between the two submarines.