Pre-Calculus Homework Solutions 211

# Pre-Calculus Homework Solutions 211 - 2 Sample answer An...

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2. Sample answer: An angle of elevation is called that because the angle formed by a horizontal line and a segment joining two endpoints rises above the horizontal line. 3. The angle of depression is / FPB and the angle of elevation is / TBP . 4. AC is 50 miles or 50(5280) 5 264,000 feet. Let x represent m / CAB . tan x ° ¬ 5 } C AC B } tan x ° ¬ 5 } 2 1 6 0 4 ,0 ,0 0 0 0 0 } x ¬ 5 tan 2 1 1 } 2 1 6 0 4 ,0 ,0 0 0 0 0 } 2 x ¬ < 2.2 The angle of elevation should be about 2.2°. 5. Let x represent m / ACB . tan x ° ¬ 5 } B AB C } tan x ° ¬ 5 } 1 7 8 .6 .2 } x ¬ 5 tan 2 1 1 } 1 7 8 .6 .2 } 2 x ¬ < 22.7 The angle of elevation is 22.7°. 6. The angle of depression between the ship and the horizontal is 13.25°. Find the length along the ocean floor. The ocean floor and the horizontal level with the ship are parallel, creating congruent alternate interior angles / BAC and / ACD . tan13.25° ¬ 5 } D 40 C } DC tan13.25° ¬ 5 40 DC ¬ 5 } tan1 4 3 0 .25° } DC ¬ < 169.9 The diver must walk about 169.9 meters along
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