1. Two ships leave port at the same time and travel straight line distances, the first at 30 km/h and the second at 10 km/h. Two hours later they are 50 km apart. What is the angle between their courses? Note: do not assume that they are travelling at a right angle to each other. They are not.

4. A young man launches a drone from the ground 60ft from where he is standing. As the drone hovers above the ground, the gps on the controller reads that the distance from the young man to the drone is 90 ft with an angle of elevation of 48 degrees. If the drone continues to fly away from the man maintaining the same vertical height. Sketch a diagram of the situation and determine the distance between the young man and the drone when the angle of elevation is now 40 degrees. Extra Credit:

An old fashioned pirate ship departs from Pirate Island at a bearing of 30º. The ship  travels 30 km/h for 2 hours when it reaches Buccaneer Bay, where all of the treasure is buried. The ship drifts away from the bray for 4.5 hours at 12 km/h at an unknown bearing. While most of the pirates celebrate pirate things, the navigator wakes up from her nap and sees Pirate Island due East. The angle between the ship’s path and Pirate Island is 105.8º.   a. Find the bearing of the ship’s current location from Buccaneer Bay. b.Find the distance from the ship to Pirate Island.