1. Reid’s hot-air balloon is 750.0 m directly above a highway. When Reid is looking west, the angle of depression to Exit 85 is 75 o. Exit 83 is located 2 km to the east of Exit 85. Determine the angle of depression, to the nearest degree, from the balloon to Exit 83. 75 o 2 km

2. 75 o 2 km 75 o 750.0 m x 75 o x = 2000 m z = 776.46 m y Y X Z

3. 75 o x = 2000 m z = 776.46 m y = 1949 m Y X Z We are looking for Angle Z. We can use Sine Law since we have a Side-Angle pair (Y-y). We can also use both forms of cosine law.

4. N The captain of a boat leaves a marina and heads due west for 25 km. Then the captain adjusts the course of his boat and heads N 30 o E for 20 km. How far is the boat from the marina? We are looking for ‘r’.