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.

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Presentation transcript:

Reid’s hot-air balloon is 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 o 2 km

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

75 o x = 2000 m z = 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.

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’.