[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-366217-105":59,"doc-detail-366217-en":134},{"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":127,"head_meta":129,"extra_data":131,"updated_unix":133},105,"en","right-triangle-trigonometry-practice-problems-lesson-guide","Right Triangle Trigonometry - Practice Problems - Lesson Guide","","Lesson guide and answer key for a K-12 right-triangle trigonometry unit, focused on applying trigonometric ratios to real-world scenarios. Students practice solving for horizontal distance, ramp length, and drone altitude using angles of elevation and right-triangle geometry. Advanced problems extend the approach to angle of elevation for an anti-aircraft target and to navigation using changing elevation angles over time. Answers are rounded to the nearest hundredths where required.",{"@graph":69,"@context":126},[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/right-triangle-trigonometry-practice-problems-lesson-guide/366217/",{"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/right-triangle-trigonometry-practice-problems-lesson-guide/366217.png","ImageObject",300,407,{"name":92,"@type":93},"CatatanPagi","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118,122],{"name":109,"@type":110,"acceptedAnswer":111},"What is the rounding rule for answers in these practice problems?","Question",{"text":112,"@type":113},"Round each answer to the nearest hundredths decimal place.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find the horizontal distance in the zip-line problem?",{"text":117,"@type":113},"Use right-triangle trigonometry with the given cable length and angle the cable makes with the ground to compute the distance to the tree’s base.",{"name":119,"@type":110,"acceptedAnswer":120},"What information is needed to calculate the altitude of the RC drone?",{"text":121,"@type":113},"Use the drone’s angle of elevation and the horizontal distance to determine the drone’s altitude.",{"name":123,"@type":110,"acceptedAnswer":124},"How is the anti-aircraft advanced problem solved?",{"text":125,"@type":113},"Given the helicopter’s altitude and the ground distance, calculate the angle of elevation required for the cannon to hit the target.","https://schema.org",{"og:url":83,"og:type":128,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":130,"canonical":83},"index,follow",{"doc_id":132,"site_id":62},366217,1790164284,{"code":4,"msg":5,"data":135},{"doc_id":132,"user_id":136,"nickname":92,"user_avatar":137,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":138,"file_id":139,"file_url":140,"file_type":141,"file_size":142,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":143,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":144,"faqs":145,"seo_title":146,"seo_description":67,"update_tm":133,"read_time":52,"preview_page_count":4},962090894170,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:  \n____________________________________  \nLesson Guide  \nThis lesson guide accompanies the following video lesson:  \nRight Triangle Trigonometry  \n▶ Practice Problems  \nUse trigonometry to solve the following problems. Round your answer to the nearest hundredths decimal place. Draw a diagram to help you!  \n(1)  \nA 200 foot long zip-line cable is attached to the top of a tree and extends to an anchor on the ground. The cable makes and angle of 􀀡􀀢 ° with the ground. Calculate how far away the foot of the cable is to the base of the tree.  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 1  \n(2)  \nA skateboard ramp makes a 􀀡􀀢 ° angle with the ground and has a vertical height of 12 feet. Find the length of the ramp.  \n(3)  \nSean is operating an RC drone hovering above a garbage pale that is 50 yards away from him. If the angle of elevation between the drone and the ground is 􀀡􀀢 ° , what is the altitude of the drone?  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 2  \n\u003C ADVANCED PROBLEMS >  \n(4)  \nAn anti-aircraft tank targets an enemy helicopter flying at an altitude of 1,600 feet. If the ground distance between the tank and the helicopter is 950 feet, what angle of elevation must the cannon be raised to in order to hit the target?  \n(5)  \nA boat is approaching a lighthouse that is 63 meters tall. The captain measures the angle of elevation to the top of the lighthouse to be 􀀡􀀢 ° . Ten minutes later, she measures the angle of elevation to be 􀀡􀀢 ° . How far has she travelled in those ten minutes?  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 3  \nANSWER KEY  \n1.) 97 ft  \n2.) 22.6 ft  \n3.) 46.6 yds  \n4.) 􀀡􀀢 . 􀀡 °  \n5.) 137.2 m  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 4","cbCaiimr2GW1pcFI","https://ap.wps.com/l/cbCaiimr2GW1pcFI","pdf",804479,"English","# Practice Problems\n## Advanced Problems\n# Answer Key","[{\"question\":\"What is the rounding rule for answers in these practice problems?\",\"answer\":\"Round each answer to the nearest hundredths decimal place.\"},{\"question\":\"How do you find the horizontal distance in the zip-line problem?\",\"answer\":\"Use right-triangle trigonometry with the given cable length and angle the cable makes with the ground to compute the distance to the tree’s base.\"},{\"question\":\"What information is needed to calculate the altitude of the RC drone?\",\"answer\":\"Use the drone’s angle of elevation and the horizontal distance to determine the drone’s altitude.\"},{\"question\":\"How is the anti-aircraft advanced problem solved?\",\"answer\":\"Given the helicopter’s altitude and the ground distance, calculate the angle of elevation required for the cannon to hit the target.\"}]","Right Triangle Trigonometry - Practice Problems - Lesson Guide | PDF"]