Pre-Calc Exam Notes 20

Pre-Calc Exam Notes 20 - 20 Chapter 1 Right Triangle...

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20 Chapter 1 Right Triangle Trigonometry §1.3 Exercises 150 h 12 34 1. From a position 150 ft above the ground, an observer in a build- ing measures angles of depression of 12 and 34 to the top and bottom, respectively, of a smaller building, as in the picture on the right. Use this to ±nd the height h of the smaller building. h b a β α 2. Generalize Example 1.12: A person standing a ft from the base of a mountain measures an angle of elevation α from the ground to the top of the mountain. The person then walks b ft straight back and measures an angle of elevation β to the top of the mountain, as in the picture on the right. Assuming the ground is level, ±nd a formula for the height h of the mountain in terms of a , b , α , and β . 3. As the angle of elevation from the top of a tower to the sun decreases from 64 to 49 during the day, the length of the shadow of the tower increases by 92 ft along the ground. Assuming the ground is level, ±nd the height of the tower.
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