Pre-Calculus Homework Solutions 209

# Pre-Calculus Homework Solutions 209 - Plan: Use the...

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Plan: Use the Distance Formula to find the measure of each side. Then use one of the trigonometric ratios to write an equation. Use the inverse to find m / X . Solve: XY 5 Ï [7 2 ( w 2 5)] 2 w 1 (0 2 w 0) 2 w 5 Ï 144 1 w 0 w or 12 YZ 5 Ï (0 2 7 w ) 2 1 ( Ï w 35 w 2 0 ) 2 w 5 Ï 49 1 3 w 5 w 5 Ï 84 w or 2 Ï 21 w XZ 5 Ï [0 2 ( w 2 5)] 2 w 1 ( Ï 3 w 5 w 2 0) w 2 w 5 Ï 25 1 3 w 5 w 5 Ï 60 w or 2 Ï 15 w cos X 5 } X X Y Z } cos X 5 } 2 Ï 12 15 w } or } Ï 6 15 w } X 5 cos 2 1 1 } Ï 6 15 w } 2 KEYSTROKES: [COS 2 1 ] [ Ï 2 w ] 15 6 m / X < 49.79703411 The measure of / X is about 49.8. Examine: Use the sine ratio to check the answer. sin X 5 } X YZ Y } sin X 5 } 2 Ï 12 21 w } or } Ï 6 21 w } X 5 sin 2 1 s } Ï 6 21 w } ± KEYSTROKES: [SIN 2 1 ] [ Ï 2 w ] 21 6 m / X < 49.79703411 The answer is correct. 55. sin35° 5 } C 2 B 0 } 20sin35° 5 CB KEYSTROKES: 20 35 CB < 11.5 cos35° ¬ 5 } A 2 C 0 } 20cos35° ¬ 5 AC KEYSTROKES: 20 35 AC < 16.4 The perimeter is about 20 1 11.5 1 16.4 or 47.9 inches.
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