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Pre-Calculus Homework Solutions 205

# Pre-Calculus Homework Solutions 205 - KEYSTROKES 2nd[TAN 1...

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Solve: AB 5 Ï ( 2 4 2 w 6) 2 1 w (2 2 0 w ) 2 w 5 Ï 100 1 w 4 w 5 Ï 104 w or 2 Ï 26 w BC 5 Ï [0 2 ( w 2 4)] 2 w 1 (6 2 w 2) 2 w 5 Ï 16 1 1 w 6 w 5 Ï 32 w or 4 Ï 2 w AC 5 Ï (0 2 6 w ) 2 1 (6 w 2 0) 2 w 5 Ï 36 1 3 w 6 w 5 Ï 72 w or 6 Ï 2 w Use the tangent ratio. tan A 5 } B AC C } tan A 5 } 4 6 Ï Ï 2 w 2 w } or } 2 3 } A 5 tan 2 1 1 } 2 3 } 2 KEYSTROKES: [TAN 2 1 ] 2 3 m / A < 33.69006753 The measure of / A is about 33.7. Examine: Use the sine ratio to check the answer. sin A 5 } B AB C } sin A 5 } 2 4 Ï Ï 2 2 w 6 w } A 5 sin 2 1 s } 2 4 Ï Ï 2 2 w 6 w } ± KEYSTROKES: [SIN 2 1 ] 4 [ Ï 2 w ] 2 2 [ Ï 2 w ] 26 m / A < 33.69006753 The answer is correct. 16. Explore: You know the coordinates of the vertices of a right triangle and that / C is the right angle. You need to find the measure of one of the angles. 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 / B . Solve:
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