Pre-Calculus Homework Solutions 214

Pre-Calculus Homework Solutions 214 - AC tan15.85 AC...

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AC tan15.85° 5 ¬ DC AC tan15.85° 5 ¬ BC tan25.6° AC 5 ¬ BC 1 } t t a a n n 1 2 5 5 .8 .6 5 ° ° } 2 Change AC to meters. 0.5 km 5 500 m 500 1 BC 5 ¬ BC 1 } t t a a n n 1 2 5 5 .8 .6 5 ° ° } 2 500 5 ¬ BC 1 } t t a a n n 1 2 5 5 .8 .6 5 ° ° } 2 2 BC 500 5 ¬ BC 1 } t t a a n n 1 2 5 5 .8 .6 5 ° ° } 2 1 2 BC 5 ¬ BC < ¬ 727 DC 5 ¬ BC tan25.6° < ¬ 348 Ayers Rock is about 348 meters high. 25. Find f 2 n . E w A w is parallel to D w B w ,so / EAD > / ADB and / EAC > / ACB because they are alternate interior angles. Then m / ADB 5 16 and m / ACB 5 29. tan16° 5 ¬ } 3 f } f tan16° 5 ¬ 3 f 5 ¬ } tan 3 16° } tan29° 5 ¬ } n 3 } n tan29° 5 ¬ 3 n 5 ¬ } tan 3 29° } f 2 n 5 ¬ } tan 3 16° } 2 } tan 3 29° } f 2 n < ¬ 5.1 The crater is about 5.1 miles across. 26. tan33° 5 ¬ } B AD D } AD tan33° 5 ¬ BD tan52° 5 ¬ } B D D C } DC tan52° 5 ¬ BD AD tan33° 5 ¬ DC tan52° AD 5 ¬ DC 1 } t t a a n n 5 3 2 3 ° ° } 2 7 2 DC 5 ¬ DC 1 } t t a a n n 5 3 2 3 ° ° } 2 7 5 ¬ DC 1 } t t a a n n 5 3 2 3 ° ° } 2 1 DC 7 5 ¬ DC 1 } t t a a n n 5 3 2 3 ° ° } 1 1 2 DC 5 ¬ BD 5 ¬ 12 tan52° BD < ¬ 3.0 The balloon is about 3.0 miles above the ground. 27. Answers should include the following. •Pilots use angles of elevation when they are ascending and angles of depression when descending. • Angles of elevation are formed when a person looks upward and angles of depression are formed when a person looks downward. 28. B; let x represent the distance from the ship to the foot of the tower. tan25° 5 ¬ } 12
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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