Pre-Calculus Homework Solutions 162

Pre-Calculus Homework Solutions 162 - NM 8 Since LMK MNK...

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Unformatted text preview: NM 8 Since LMK MNK and K K, LMK MNK by AA Similarity. LK MK 16 9 2(KP) KP 25 3(KP) 6(NM) ¬ MK NK NM ¬ 2(KP) KP 9 ¬ 3(KP) 9 25(10) 250 15 50 3 QR NL 32 3 16 32 3 (LM) ¬15(RP) ¬RP ¬RP ¬ KM PM ¬ 15 10 6 RQ 32 3 RQ 6 m MQP 90 m QPM m PMQ ¬180 m QPM m PMQ ¬180 m QPM m PMQ ¬90 Since RMP is a right angle, m RMQ m PMQ 90 m QPM m PMQ m RMQ m PMQ m QPM m RMQ, so QPM RMQ. Therefore, RQM MQP by AA Similarity. RQ MQ 32 3 MQ (MQ)2 (MQ)2 MQ RM MP RM 10 MQ ¬ QP MQ ¬6 ¬ 32 6 3 ¬64 ¬8 QM ¬ QP ¬8 6 Chapter 6 ¬16 40 3 ¬16 40 3 3 32 ¬20 HJ YJ and height of pyramid (ft) height of staff (paces 3) 6(RM) ¬10(8) RM ¬ 80 or 40 6 3 Since KNM PQM, NM QM 40 ¬ L3 M J J, XJY by SAS Similarity. 180 m WXJ 180 130 50 m JIH m JXY by corr. 50 m YIZ m JIH by vert. 50 m JYX m YIZ + m WZG 50 20 70 because exterior angle sum of remote interior angles m JHI m JYX 70 by corr. m J m JXY m JYX ¬180 m J 50 70 ¬180 m J ¬60 m JHG m JHI ¬180 Linear pair m JHG 70 ¬180 m JHG ¬110 31. RST is a right angle, so m RST 90. m RTS 47. m RTS m R m RST ¬180 47 m R 90 ¬180 m R ¬43 UVT is a right angle, so m UVT 90. m UVT m TUV m UTV ¬180 90 m TUV 47 ¬180 m TUV ¬43 RUS is a right angle, so m RUS 90. m RUS m R m RSU ¬180 90 43 m RSU ¬180 m RSU ¬47 SUT is a right angle, so m SUT 90. m SUV m TUV ¬90 m SUV 43 ¬90 m SUV ¬47 32. Assuming that the sun’s rays form similar triangles, the following proportion can be written. ¬ 15 10 RQ ¬ RM LM so IJH m JXY 9(10) ¬15(PQ) 90 ¬15(PQ) 6 ¬PQ RP RQ PQ 50 3 QRM and LNM RQM, NLM by AA Similarity. LM IJ 30. XJ ¬ KM PM 50 3 ¬ 72 or 12 6 LM Since KNM PQM and K QPM, KNM PQM by AA Similarity. KN PQ 9 PQ ¬8(9) Since L QRM 25(9) ¬9(KP)2 25 ¬(KP)2 5 ¬KP KM KP PM KP 2(KP) 3(KP) 3(5) or 15 PM 2(KP) 2(5) or 10 Since L QRM and K QPM, LKM RPM by AA Similarity. LK RP 25 RP ¬9 6 pyramid shadow length (paces 3) staff shadow length (paces 3) ¬ KN PQ 164 ...
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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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