[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-268830-105":59,"doc-detail-268830-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","local-contest-trig-star-problem","LOCAL CONTEST - TRIG-STAR PROBLEM","","Local Trig-Star contest materials for a boundary surveying problem involving lot 109. The scenario describes an owner seeking a building permit and a land surveyor reestablishing missing corner point C using existing monuments at points A, B, and D. Trees obstruct visibility along lot lines, so a control point at F is set to observe all four corner locations, with additional geometric constraints including parallel lines and collinearity of C with D and E.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/local-contest-trig-star-problem/268830/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/local-contest-trig-star-problem/268830.png","ImageObject",300,407,{"name":92,"@type":93},"8796093062539","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main task of the Trig-Star local contest problem?","Question",{"text":112,"@type":113},"The surveyor must reestablish the location of point C and determine requested distances, angles, and area based on measured geometry and constraints.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why is point F introduced in the problem?",{"text":117,"@type":113},"Trees block the view along the lot lines, so point F is used as a control point from which the four lot corner locations can be seen.",{"name":119,"@type":110,"acceptedAnswer":120},"What geometric relationships are given for the boundary layout?",{"text":121,"@type":113},"Point C is noted to lie on a straight line connecting points D and E, and line AD is stated to be parallel to line BC.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},268830,1789992620,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":66,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":133,"file_id":134,"file_url":135,"file_type":136,"file_size":137,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":138,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":139,"faqs":140,"seo_title":141,"seo_description":67,"update_tm":142,"read_time":143},8796093062539,"# SAMPLE\n\n| TRIG-STAR PROBLEM LOCAL CONTEST  \u003Cbr>PRINT NAME:  \u003Cbr>Al  \u003Cbr>KNOWN:DISTANCE AC=381.25 DISTANCE BC=431.23  \u003Cbr>REQUIRED ANSWER FORMAT  \u003Cbr>FIND:  \u003Cbr>≤ACB=_               (5 POINTS)  \u003Cbr>DISTANCES:NEAREST HUNDREDTH  \u003Cbr>ANGLES:DEGREES-MINUTES-SECONDS  \u003Cbr>DISTANCE AB=           ___  (5 POINTS)  \u003Cbr>TO THE NEAREST SECOND   |  |  |\n| --- | --- | --- |\n| TRIG-STAR PROBLEM LOCAL   \u003Cbr>F  \u003Cbr>E  \u003Cbr>KNOWN:DISTANCE EF =193.314EFG =12131'30”   FEG =4150'1  \u003Cbr>FIND:  \u003Cbr>4EGF=_____  _(6 POINTS)  \u003Cbr>DISTANCE EH =—          (6 POINTS)  \u003Cbr>DISTANCE FH=______(6 POINTS)  \u003Cbr>DISTANCE FG=_       __  (6 POINTS)  \u003Cbr>DISTANCE GH =_        __(6 POINTS)  \u003Cbr>PA   | CONTEST  \u003Cbr>4”   |  |\n|  | REQUIRED ANSWER FORMAT  \u003Cbr>DISTANCES:NEAREST HUNDREDTH  \u003Cbr>ANGLES:DEGREES-MINUTES-SECONDS  \u003Cbr>TO THE NEAREST SECOND  \u003Cbr>GE TOTAL:__________POINTS   |  |\n\nSHEET10F 3  \nCOPYRIGHT-NSPS  \n\n| TRIG-STAR PROBLEM LOCAL CONTEST  \u003Cbr>510.55  \u003Cbr>261.30  \u003Cbr>A  \u003Cbr>KNOWN:DISTANCE BC =510.55 DISTANCE CD =261.30  \u003Cbr>4BAD=8321'02”  \u003Cbr>—          _(10 POINTS)  \u003Cbr>FIND:    DISTANCE AB =.  \u003Cbr>REQUIRED ANSWER FORMAT  \u003Cbr>DISTANCES:NEAREST HUNDREDTH  \u003Cbr>DISTANCE AD=___  __(10 POINTS)  \u003Cbr>DISTANCE AC=__       __(10 POINTS)  \u003Cbr>______POINTS  \u003Cbr>PAGE TOTAL:_   |\n| --- |\n\n\n|  |\n| --- |\n\nCOPYRIGHT-NSPS  \nSHEET 2 OF 3  \n# LOCAL CONTEST\n\nTRIG-STAR PROBLEM  \nTHE OWNER OF LOT 109,SHOWN AS FGURE ABCD,WANTS TO OBTAIN A BUILDING PERMIT,ANDHIRES A LAND SURVEYOR TO COMPLETE A BOUNDARY SURVEY  \nTHE SURVEYOR FINDS EXISTNG MONUMENTS AT POINTS A,B,AND D,AND NEEDS TO REESTABLISHPOINT C.TREES OBSTRUCT THE VEW ALONG LOT LINES AS SHOWN,SO THE SURVEYOR SETS ACONTROL POINT AT POINTF FROM WHICH ALL FOUR LOT CORNER LOCATONS CAN BE SEEN.THESURVEYOR ALSO FINDS A MONUMENT AT POINT E,AND NOTES THAT POINT C WOULD BE ON ASTRAGHT LINE CONNECTNG POINTS D AND E.IT IS ALSO NOTED THAT LINE AD IS PARALLEL TO LINEBC.  \nTHE SURVEYOR's MEASURED ANGLES AND DISTANCES ARE SHOWN BELOW  \nBD  \nDISTANCE DA=                     (6 POINTS)  \nDISTANCE FC=.                  (6 POINTS)DISTANCE DC=.            (6 POINTS)ANGLE BFC =.                  (6 POINTS)AREA ABCD=.            (6 POINTS)  \n\n| REQUIRED ANSWER FORMAT  \u003Cbr>DISTANCES:NEAREST HUNDREDTH  \u003Cbr>NEAREST WHOLE UNIT  \u003Cbr>AREA:   |\n| --- |\n\nPAGE TOTAL:.            POINTSCOPYRIGHT-NSPSSHEET 30F 3  \n\n| TRIG-STAR MISCELLANEOUS DATA  \u003Cbr>RIGHT TRIANGLE FORMULAS  \u003Cbr>PYTHAGOREAN THEOREM:a²+b²=c²  \u003Cbr>AREA:2ab  \u003Cbr>TRIGONOMETRIC FUNCTIONS:sin A=8,cos A=,  \u003Cbr>OBLIQUE TRIANGLE FORMULAS  \u003Cbr>LAW OF COSINES:a²=b²+c²-2bcCos A  \u003Cbr>AREA:2bh  \u003Cbr>CIRCLE FORMULAS  \u003Cbr>RADIUS =r  \u003Cbr>DIAMETER =d  \u003Cbr>CIRCUMFERENCE:2πr or πd  \u003Cbr>AREA:πr²  \u003Cbr>ONE DEGREE(1)OF ARC =60 MINUTES(60')OF ARC  \u003Cbr>ONE MINUTE(1')OF ARC =60 SECONDS(60\")OF ARC  \u003Cbr>THEREFORE ONE DEGREE OF ARC(1)=3600 SECONDS  \u003Cbr>OF ARC.   |\n| --- |\n\n| TRIG-STAR ANSWER KEY LOCAL CONTEST  \u003Cbr>PAGE 1  \u003Cbr>2751'33”  \u003Cbr>ACB =  \u003Cbr>DISTANCE AB =  \u003Cbr>201.51  \u003Cbr>PAGE 1  \u003Cbr>16°38'16”  \u003Cbr>EGF  \u003Cbr>DISTANCE EH  \u003Cbr>144.02  \u003Cbr>DISTANCE FH  \u003Cbr>128.94  \u003Cbr>DISTANCE FG  \u003Cbr>450.34  \u003Cbr>431.48  \u003Cbr>DISTANCE GH  \u003Cbr>PAGE 2  \u003Cbr>DISTANCE AB:  \u003Cbr>322.59  \u003Cbr>544.47  \u003Cbr>DISTANCE AD =  \u003Cbr>603.92  \u003Cbr>DISTANCE AC =  \u003Cbr>PAGE 3  \u003Cbr>121.90  \u003Cbr>DISTANCE DA  \u003Cbr>二  \u003Cbr>89.47  \u003Cbr>DISTANCE FC=  \u003Cbr>123.78  \u003Cbr>DISTANCE DC=  \u003Cbr>79*58'42”  \u003Cbr>BFC=  \u003Cbr>15,287  \u003Cbr>AREA ABCD =   |\n| --- |\n\nCOPYRIGHT-NSPS","cbCaik3CkkasVGsn","https://ap.wps.com/l/cbCaik3CkkasVGsn","pdf",1571548,"English","# LOCAL CONTEST\n## TRIG-STAR PROBLEM\n## REQUIRED ANSWER FORMAT\n## TRIG-STAR MISCELLANEOUS DATA\n## TRIG-STAR ANSWER KEY LOCAL CONTEST","[{\"question\":\"What is the main task of the Trig-Star local contest problem?\",\"answer\":\"The surveyor must reestablish the location of point C and determine requested distances, angles, and area based on measured geometry and constraints.\"},{\"question\":\"Why is point F introduced in the problem?\",\"answer\":\"Trees block the view along the lot lines, so point F is used as a control point from which the four lot corner locations can be seen.\"},{\"question\":\"What geometric relationships are given for the boundary layout?\",\"answer\":\"Point C is noted to lie on a straight line connecting points D and E, and line AD is stated to be parallel to line BC.\"}]","LOCAL CONTEST - TRIG-STAR PROBLEM | PDF",1789437654,15]