Pre-Calculus Homework Solutions 201

Pre-Calculus Homework Solutions 201 - 31. 32. 33. 34. 35....

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CP is the hypotenuse of 30°-60°-90° triangle CPQ . C w Q w is the longer side and PQ is the shorter side. 2( PQ ) 5 CP 2( PQ ) 5 4 Ï 3 w PQ 5 2 Ï 3 w Ï 3 w ( PQ ) 5 CQ Ï 3 w (2 Ï 3 w ) 5 CQ 2(3) 5 CQ 6 5 CQ Q is on CD 6 units to the right of C , so Q has coordinates (2 1 6, 2 5) 5 (8, 2 5). P is 2 Ï 3 w units above Q , so P has coordinates (8, 2 5 1 2 Ï 3 w ). 31. S w T w is the shorter leg of a 30°-60°-90° triangle. SP 5 2( ST ) 6 Ï 3 w 5 2( ST ) 3 Ï 3 w 5 ST Then c 5 3 Ï 3 w . PT is a vertical line segment, so a 5 c 5 3 Ï 3 w . PT 5 Ï 3 w ( ST ) PT 5 Ï 3 w (3 Ï 3 w ) PT 5 3 ? 3 or 9 Then b 5 9. P w Q w i S w R w , so PQ is a horizontal line segment. Thus d 5 b 5 9. 32. 12 triangles 33. The smaller angle is rotated, so it is the 30° angle. 34. There are no gaps because when a 30° angle is rotated 12 times, it rotates 360°. 35. Sample answer: 36. 2 x 5 8 x 5 4 y 5 Ï 3 w ( x ) y 5 Ï 3 w (4) or 4 Ï 3 w y 5 Ï 2 w ( z ) 4 Ï 3 w 5 Ï 2 w ( z ) } 4 Ï Ï 2 w 3 w } 5 z } 4 Ï Ï 2 w 3 w } ? } Ï Ï 2 w 2 w } 5 z } 4 Ï 2 6 w } 5 z 2 Ï 6 w 5 z 37. BD 5 Ï 3 w ( DH ) 8 Ï 3 w 5 Ï 3 w ( DH )
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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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