[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467060-105":59,"doc-detail-467060-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","applying-the-law-of-cosines-mathematics-practice-problems","Applying the Law of Cosines - Mathematics Practice Problems","","This document provides a set of mathematics practice exercises focused on applying the Law of Cosines to determine the angle of point B relative to point A in a coordinate system. Each problem requires calculating angles based on the lengths of the sides of a triangle formed by points A, B, and C. The resource includes blank worksheets for students to practice these geometric calculations, as well as an answer key providing the precise angular results for each problem, making it an effective tool for classroom instruction and student self-assessment in trigonometry.",{"@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/applying-the-law-of-cosines-mathematics-practice-problems/467060/",{"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/applying-the-law-of-cosines-mathematics-practice-problems/467060.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the primary objective of these practice problems?","Question",{"text":112,"@type":113},"The primary objective is to use the Law of Cosines to find the angle of point B relative to point A, given the lengths of the triangle's sides.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What information is provided for each problem?",{"text":117,"@type":113},"For each problem, the document provides the coordinates for point A (0,0) and the specific lengths for sides AB, AC, and BC, which are necessary to solve for the target angle.",{"name":119,"@type":110,"acceptedAnswer":120},"Is there a reference for verifying the calculations?",{"text":121,"@type":113},"Yes, the document includes an answer key that provides the calculated angular values for the four practice problems, such as 41.19 for the first problem and 18.43 for the 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\u003Cbr>4.   |\n| --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>A (0,0) | 2) | \u003Cbr>A (0,0) |  |\n| 3) | \u003Cbr>A (0,0) | 4) | \u003Cbr>A (0,0) |  |\n\n[Math](Math www.CommonCoreSheets.com 3 1-4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3 1-4)[ 3](Math www.CommonCoreSheets.com 3 1-4)[ 1-4](Math www.CommonCoreSheets.com 3 1-4) 75 50 25 0  \n\n|  |  |  |  |\n| --- | --- | --- | --- |\n\nApplying the Law of Cosines  \nName: Answer Key  \n\n| Use the law of Cosines to find the point B's angle relative to point A. |  | Answers 1.  41.19  2.  18.43  3.  15.95  4.  48.81  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>\u003Cbr>A (0,0)\u003Cbr>AB  length = 10.63\u003Cbr>AC length = 8 BC length = 7\u003Cbr>3)\u003Cbr>\u003Cbr>A (0,0)\u003Cbr>AB length = 7.28\u003Cbr>AC  length = 7 BC length = 2 | 2)\u003Cbr>\u003Cbr>A (0,0)\u003Cbr>AB  length = 3.16\u003Cbr>AC length = 3 BC length = 1\u003Cbr>4)\u003Cbr>\u003Cbr>A (0,0)\u003Cbr>AB length = 10.63\u003Cbr>AC  length = 7 BC length = 8 |  |  |  |  |\n| 3\u003Cbr>1-4\u003Cbr> 75  |  |  |  50  |  25  | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nApplying the Law of Cosines  \nName:  \n\n| Use the law of Cosines to find the point B's angle relative to point A. |  |  |  |  |  | Answers |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| | 18.43 |  | 41.19 |  | |  |  |  |\n| 1) | A (0,0) | B (8 , 7) |  | 2)\u003Cbr>\u003Cbr>A (0,0) |  | 1.  \u003Cbr>2.   |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 1-2 |  |  |  |  |  |  | 50 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3","cbCaiobJ9fi80TkX","https://ap.wps.com/l/cbCaiobJ9fi80TkX","pdf",47638,"English","# Law of Cosines Practice Problems\n## Exercise Set\n## Answer Key","[{\"question\":\"What is the primary objective of these practice problems?\",\"answer\":\"The primary objective is to use the Law of Cosines to find the angle of point B relative to point A, given the lengths of the triangle's sides.\"},{\"question\":\"What information is provided for each problem?\",\"answer\":\"For each problem, the document provides the coordinates for point A (0,0) and the specific lengths for sides AB, AC, and BC, which are necessary to solve for the target angle.\"},{\"question\":\"Is there a reference for verifying the calculations?\",\"answer\":\"Yes, the document includes an answer key that provides the calculated angular values for the four practice problems, such as 41.19 for the first problem and 18.43 for the second.\"}]","Applying the Law of Cosines - Mathematics Practice Problems | PDF",1790772255]