[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-669972-105":59,"doc-detail-669972-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","classic-roof-formulae-guide-v4-march-2016","Classic roof - Formulae Guide - V4 - March 2016","","Classic roof Formulae Guide V4, March 2016, provides practical trigonometry-based calculation methods for conservatory roofs and related roof components. It explains right-triangle angle and side relationships using SOH-CAH-TOA, then applies these functions for determining key dimensions such as pitch-related height, conservatory geometry, and derived measurements. Worked examples cover pitch and projection problems, including finding unknown roof dimensions using sine, cosine and tangent, followed by procedures for equal internal angles, facet sizes, and bay projection.",{"@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":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/classic-roof-formulae-guide-v4-march-2016/669972/",{"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/classic-roof-formulae-guide-v4-march-2016/669972.png","ImageObject",300,407,{"name":92,"@type":93},"Obex","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-11-01",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Which trigonometry relationships are used to calculate conservatory roof dimensions?","Question",{"text":112,"@type":113},"The guide uses right-triangle functions based on SOH-CAH-TOA: sine, cosine and tangent (with secant, cosecant, cotangent as additional forms).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you calculate a missing roof dimension using tangent when a pitch angle is known?",{"text":117,"@type":113},"It sets up TAN of the pitch angle as opposite ÷ adjacent, then rearranges to compute the unknown opposite length, e.g., O = A × TAN(pitch).",{"name":119,"@type":110,"acceptedAnswer":120},"How are equal internal angles determined for multiple facets?",{"text":121,"@type":113},"The guide assigns angle totals based on additional facets (e.g., 1 facet = 180°, 2 facets = 360°, etc.), then derives the internal angles by dividing the appropriate total by the number of internal angles, with an alternative subtraction method described.","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},669972,1793565443,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":129,"read_time":144},5909898192665,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Classic roof  \nFormulae Guide  \nV4 l March 2016  \nCONTENTS  \nTRIGONOMETRY ..................................................................................... PAGE 2  \nEXAMPLE: BASIC .................................................................................... PAGE 3  \nEXAMPLE: PYTHAGORAS THEOREM .................................................... PAGE 4  \nFIND DIMENSION X................................................................................. PAGE 5  \nHOW TO CALCULATE: INTRODUCTION................................................ PAGE 6  \nHOW TO CALCULATE: EQUAL INTERNAL ANGLES ............................. PAGE 7  \nHOW TO CALCULATE: EQUAL FACET SIZES ....................................... PAGE 8  \nHOW TO CALCULATE: BAY PROJECTION ............................................ PAGE 9  \nHOW TO CALCULATE: A LEAN-TO PITCH ............................................ PAGE 10  \nHOW TO CALCULATE: A LEAN-TO PITCH OFF A VICTORIAN............. PAGE 11  \n1 UP 4 DOWN: MAIN RIDGE BODY RULES ........................................... PAGE 12  \nTAPERING EAVES BEAM OR BOX GUTTER.......................................... PAGE 13  \nHOW TO CALCULATE: A DROP VALLEY PITCH ................................... PAGE 14  \nHOW TO CALCULATE: P SHAPE HALF RIDGE LENGTH...................... PAGE 15  \nHOW TO CALCULATE: WIRE FRAME GLAZING BAR LENGTH ............ PAGE 16  \nHOW TO CALCULATE: VENTILATED WALLPLATE HEIGHTS............... PAGE 17  \nHOW TO CALCULATE: PWP & PWL WALLPLATE HEIGHTS ................ PAGE 18  \nHOW TO CALCULATE: RIDGE LENGTHS.............................................. PAGE 19  \nHOW TO CALCULATE: PITCH & HEIGHT .............................................. PAGE 20  \nHOW TO CALCULATE: EXTERNAL BASE & INTERNAL FRAME........... PAGE 21  \nHOW TO CALCULATE: TOTAL HEIGHT OF ROOF-FOR LEAD ............. PAGE 22  \nHOW TO CALCULATE: THE ROOF SIZE (PROJECTION) ..................... PAGE 23  \nHOW TO CALCULATE: A DOOR OPENING ON A 3 & 5 FACET........... PAGE 24  \nHOW TO CALCULATE: THE TOTAL ROOF VOLUME ............................ PAGE 25  \nTRIGONOMETRY  \nREMEMBER SOH-CAH-TOA FROM SCHOOL  \nWE USE THE ABOVE FOR CALCULATING CONSERVATORY ROOFS. BELOW WE HAVE HALF A CONSERVATORY ROOF.  \na  \nB  \nc  \nC = 90° ADJACENT  \nA  \nOPPOSITE  \nHYPOTENUSE  \nIF ONE ANGLE IS A RIGHT (90°) ANGLE, THE TRIANGLE IS A RIGHT OR RIGHT ANGLED TRIANGLE. THE SUM OF THE THREE ANGLES IN EVERY RIGHT ANGLED TRIANGLE IS 180 DEGREES.  \nTHE SIDES OF THE TRIANGLE ARE KNOWN AS  \na = OPPOSITE b = ADJACENT c = HYPOTENUSE  \nA = THE PITCH OF THE ROOF  \nS SIN = SINE  \nSOH  \nSIN A = OPP ÷ HYP  \nCOSEC = COSECANT  \nCOSEC A = HYP ÷ OPP  \nC COS = COSINE  \nCAH  \nCOS A = ADJ ÷ HYP  \nSEC = SECANT  \nSEC A = HYP ÷ ADJ  \nT TAN = TANGENT  \nTOA  \nTAN A = OPP ÷ ADJ  \nCOT = COTANGENT  \nCOT A = ADJ ÷ OPP  \nEXAMPLE  \nSCIENTIFIC CALCULATOR NEEDED  \nNOTE: THE SYMBOL DEG (DEGREES) NEEDS TO BE VISIBLE ON TOP LINE OF CALCULATOR OR SET TO DEG.  \nA 25°  \nO  \nH  \n2000  4000   \n1. INTERNAL WIDTH OF CONSERVATORY = 4000MM  \n2. HALF INTERNAL WIDTH = 2000MM  \n3. KNOWN PITCH = 25°  \n4. HEIGHT OF TRIANGLE (OPPOSITE HEIGHT)  \nTO CALCULATE DIMENSION ‘O’  \nTAN 25° = OPPOSITE ÷ ADJACENT  \n􀀿 O = A X TAN 25°  \n􀀿 O = 2000 X TAN 25° = 932.6  \n􀀿 O = 932.6MM  \nIF ANGLE 25° IS NOT KNOWN BUT DIMENSION O IS KNOWN THEN TAN X = O ÷ A  \n􀀿 TAN X = 932.6 ÷ 2000 =  \n􀀿 932.6 ÷ 2000 = 0.4663*  \n􀀿 TAN 0.4663 = 25°  \nCOTAN OR TAN-1 NEEDS TO BE OBTAINED FROM A SCIENTIFIC CALCULATOR.  \nPLEASE NOTE: THE ORDER IN WHICH DIGITS ARE PRESSED ON A SCIENTIFIC CALCULATOR CAN VARY DEPENDING ON MODEL.  \n*PROCESS : 932.6 ÷ 2000 = 0.4663. NEXT PRESS 2ND F, SHIFT OR INV DIGIT. NEXT PRESS TAN DIGIT. NEXT PRESS = DIGIT.  \nANSWER = 24.9996°  \nEXAMPLE  \n2000   \n4000   \nPYTHAGORAS THEOREM  \nTHIS IS USED WHEN 2 SIDES ARE KNOWN IN A RIGHT ANGLED TRIANGLE AND YOU WANT TO KNOW THE THIRD  \nH2 = O2 + A2 O2 = H2-A2 A2 = H2-O2  \nON THE ABOVE EXAMPLE TO FIND LENGTH HH2 = O2 + A2  \nH2 = 932.62 + 20002 (932.6 X 932.6+ 2000 X 2000) H2 = 869742.76 + 4000000  ","cbCaihKl3g8K9NcK","https://ap.wps.com/l/cbCaihKl3g8K9NcK","pdf",222134,28,"English","# TRIGONOMETRY\n## Example: Basic\n## Example: Pythagoras Theorem\n## Find Dimension X\n## How to Calculate: Introduction\n## How to Calculate: Equal Internal Angles\n## How to Calculate: Equal Facet Sizes\n## How to Calculate: Bay Projection\n## How to Calculate: A Lean-To Pitch\n## How to Calculate: A Lean-To Pitch Off A Victorian\n## 1 Up 4 Down: Main Ridge Body Rules\n## Tapering Eaves Beam or Box Gutter\n## How to Calculate: A Drop Valley Pitch\n## How to Calculate: P Shape Half Ridge Length\n## How to Calculate: Wire Frame Glazing Bar Length\n## How to Calculate: Ventilated Wallplate Heights\n## How to Calculate: PWP & PWL Wallplate Heights\n## How to Calculate: Ridge Lengths\n## How to Calculate: Pitch & Height","[{\"question\":\"Which trigonometry relationships are used to calculate conservatory roof dimensions?\",\"answer\":\"The guide uses right-triangle functions based on SOH-CAH-TOA: sine, cosine and tangent (with secant, cosecant, cotangent as additional forms).\"},{\"question\":\"How do you calculate a missing roof dimension using tangent when a pitch angle is known?\",\"answer\":\"It sets up TAN of the pitch angle as opposite ÷ adjacent, then rearranges to compute the unknown opposite length, e.g., O = A × TAN(pitch).\"},{\"question\":\"How are equal internal angles determined for multiple facets?\",\"answer\":\"The guide assigns angle totals based on additional facets (e.g., 1 facet = 180°, 2 facets = 360°, etc.), then derives the internal angles by dividing the appropriate total by the number of internal angles, with an alternative subtraction method described.\"}]","Classic roof - Formulae Guide - V4 - March 2016 | PDF",71]