[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207694-en":3,"doc-seo-207694-105":30,"detail-sidebar-cat-0-en-105":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},207694,2336477552062,"Stanford","https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d",4,"Exam","SOHCAHTOA%20MA - Right-angled triangles trigonometry practice (answers to 3 s.f./1 d.p.)","Trigonometry practice focused on solving right-angled triangle problems using sine, cosine and tangent. Tasks include finding missing side lengths and calculating marked angles from given right angles plus additional acute angles, with measurements provided in cm or m. Each question specifies precision requirements such as three significant figures or one decimal place, and typically references diagram-based relationships using expressions like tan(36), sin(60) and cos(43).","1.  \nABC is a right-angled triangle.  \nAngle B=90°.  \nAngle A=36°.  \nAB=8.7 cm.  \nWork out the length of BC.Give your answer correct to 3 significant figures.  \n2.  \nCalculate the value ofx.Give your answer correct to 3 significant figures.  \nDiagram NOTx= 8,7×tan(36SUH AH TOA  \naccurately drawn  \n6.32  \n(3 marks)  \nDiagram NOT  \naccurately drawn  \ns   所   \nx=32×sin60)  \nx=27.7   \nΩ7.  \n(3marks)  \nPQR is a triangle.  \nAngle Q=90°.  \nAngle R=43°.  \nPR=5.8m.  \nCalculate the length of QR.Give your answer correct to 3 significant figures.  \n   \nPQR is a triangle.  \nAngle PQR=90°.  \nPQ=12.5 cm.  \nQR=5cm.  \nCalculate the value ofx.Give your answer correct to 1 decimal place.  \n58 cos43)=C  \n(3 marks)  \n(3 marks)  \nLMN is a right-angled triangle.MN=9.6 cm.LM=6.4 cm.  \nCalculate the size of the angle markedx.Give your answer correct to 1 decimal place.  \n6.  \nWork out the value ofx.Give your answer correct to 1 decimal place.  \n(3 marks)  \nDiagram NOT  \naccurately drawn  \nDiagram NOT  \naccurately drawn  \nPR=12 cm.  \nQR=4.5 cm.  \nAngle PRQ=90°.  \nWork out the value ofxGive your answer correct to one decimal place.  \n8.  Calculate the size of angle ain this right-angled triangle.Give your answer correct to 3 significant figures.  \n=20.6  \nx=…20.………(3marks)  \nDiagram NOT  \naccurately drawn  \ntan(=5  \n39.8  \n(3 marks)  \n9.   PQR is a right-angled triangle.  \n8 cm  \nPR=8cm.  \nQR=12cm.  \n(a)Find the size of the angle marked x.Give your answer correct to 1 decimal place.  \nXYZ is a different right-angled triangle.  \nXY=5cm.  \nAngle Z=32.  \n(b)Calculate the length YZ.  \nGive your answer correct to 3 significant figures.  \nDiagram NOT  \naccurately drawn  \n⑥  \nS04 CAT T04  \n33.7。  \n(3)  \nDiagram NOT  \naccurately drawn  \nSo    \n.….cm    9.44 .x=9.  \n(3)(6marks)  \n10.  The diagram shows a quadrilateral ABCD.  \nAB=16 cm.AD=12 cm.Angle BCD=40°.Angle ADB=angle CBD=90°.  \nCalculate the length of CD.Give your answer correct to 3 significant figures.  \n47BD=162-1  \nSo Io  \nx=1.  \nDiagram NOT  \naccuratcly drawn  \n(5marks) 16.  \nDiagram NOT  \naccurately drawn  \nABC is a triangle.  \nADCis a straight line with BD perpendicular to AC.AB=7cm.BC=12 cm.Angle BAD=65°.  \nCalculate the length of AC.Give your answer correct to 3 significant figures.  \nCD²+6344  \n(6 marks)=(3·144858S","cbCaidgM9n5BK5bq","https://ap.wps.com/l/cbCaidgM9n5BK5bq","pdf",617029,1,7,"English","en",105,"# Trigonometry problems using SOHCAHTOA\n## Right-angled triangle: find side lengths\n## Right-angled triangle: find angles and missing values\n## Quadrilateral angle/length calculation","[{\"question\":\"How are the triangle problems solved in these questions?\",\"answer\":\"They use sine, cosine and tangent relationships for right-angled triangles, matching the given angles and side lengths to trigonometric ratios.\"},{\"question\":\"What answer accuracy is required for the calculations?\",\"answer\":\"Several questions require answers to 3 significant figures, while others require answers to 1 decimal place.\"},{\"question\":\"What types of values do the questions ask you to find?\",\"answer\":\"The questions ask for missing side lengths and for the size of marked angles (often alongside additional sub-parts in the same problem).\"}]","SOHCAHTOA%20MA - Right-angled triangles trigonometry practice (answers to 3 s.f./1 d.p.) | PDF",1788600627,18,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":85,"head_meta":87,"extra_data":89,"updated_unix":28},"sohcahtoa20ma-right-angled-triangles-trigonometry-practice-answers-to-3-sf1-dp","",{"@graph":36,"@context":84},[37,53,67],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/exam/",3,{"item":52,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/sohcahtoa20ma-right-angled-triangles-trigonometry-practice-answers-to-3-sf1-dp/207694/",{"url":52,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":61,"encodingFormat":60,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":64,"interactionType":65,"userInteractionCount":4},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80],{"name":71,"@type":72,"acceptedAnswer":73},"How are the triangle problems solved in these questions?","Question",{"text":74,"@type":75},"They use sine, cosine and tangent relationships for right-angled triangles, matching the given angles and side lengths to trigonometric ratios.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"What answer accuracy is required for the calculations?",{"text":79,"@type":75},"Several questions require answers to 3 significant figures, while others require answers to 1 decimal place.",{"name":81,"@type":72,"acceptedAnswer":82},"What types of values do the questions ask you to find?",{"text":83,"@type":75},"The questions ask for missing side lengths and for the size of marked angles (often alongside additional sub-parts in the same problem).","https://schema.org",{"og:url":52,"og:type":86,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":88,"canonical":52},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":91},[92,96,100,103,108,113,117,122,127,130,134],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":93,"show_sort_weight":94,"slug":95},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":97,"show_sort_weight":98,"slug":99},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":101,"slug":102},70,"exam",{"id":104,"doc_module":4,"doc_module_name":46,"category_name":105,"show_sort_weight":106,"slug":107},5,"Comic",60,"comic",{"id":109,"doc_module":4,"doc_module_name":46,"category_name":110,"show_sort_weight":111,"slug":112},6,"Technology",50,"technology",{"id":21,"doc_module":4,"doc_module_name":46,"category_name":114,"show_sort_weight":115,"slug":116},"Healthcare",40,"healthcare",{"id":118,"doc_module":4,"doc_module_name":46,"category_name":119,"show_sort_weight":120,"slug":121},8,"Research & Report",30,"research-report",{"id":123,"doc_module":4,"doc_module_name":46,"category_name":124,"show_sort_weight":125,"slug":126},9,"Religion & Spirituality",20,"religion-spirituality",{"id":125,"doc_module":4,"doc_module_name":46,"category_name":128,"show_sort_weight":125,"slug":129},"World Cup","world-cup",{"id":131,"doc_module":4,"doc_module_name":46,"category_name":132,"show_sort_weight":131,"slug":133},10,"Lifestyle","lifestyle",{"id":135,"doc_module":4,"doc_module_name":46,"category_name":136,"show_sort_weight":104,"slug":137},19,"General","general"]