{"id":2758,"date":"2025-08-13T18:36:02","date_gmt":"2025-08-13T18:36:02","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/precalculus\/?post_type=chapter&#038;p=2758"},"modified":"2025-10-20T15:37:54","modified_gmt":"2025-10-20T15:37:54","slug":"triangle-trigonometrybackground-youll-need-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/triangle-trigonometrybackground-youll-need-2\/","title":{"raw":"Triangle Trigonometry: Background You'll Need 2","rendered":"Triangle Trigonometry: Background You&#8217;ll Need 2"},"content":{"raw":"<section class=\"textbox learningGoals\" aria-label=\"Learning Goals\">\r\n<ul>\r\n \t<li><span data-sheets-root=\"1\">Solve proportions<\/span><\/li>\r\n<\/ul>\r\n<\/section><section class=\"textbox recall\" aria-label=\"Recall\">\r\n<p data-start=\"1715\" data-end=\"1780\">A proportion is an equation that states two ratios are equal:<\/p>\r\n<p data-start=\"1782\" data-end=\"1824\">[latex]\r\n\\frac{a}{b} = \\frac{c}{d}\r\n[\/latex]<\/p>\r\n<p data-start=\"1826\" data-end=\"1878\">To solve a proportion, use cross multiplication:<\/p>\r\n<p data-start=\"1880\" data-end=\"1920\">[latex]\r\na \\times d = b \\times c\r\n[\/latex]<\/p>\r\n\r\n<\/section><section class=\"textbox example\" aria-label=\"Example\">\r\n<p data-start=\"2007\" data-end=\"2034\">Solve for [latex]x[\/latex]:<\/p>\r\n<p data-start=\"2036\" data-end=\"2079\">[latex]\r\n\\frac{x}{5} = \\frac{6}{10}\r\n[\/latex]<\/p>\r\n<p data-start=\"2081\" data-end=\"2182\">[latex]\r\n\\begin{align}\r\nx \\times 10 &amp;= 5 \\times 6 \\\\\r\n10x &amp;= 30 \\\\\r\nx &amp;= 3\r\n\\end{align}\r\n[\/latex]<\/p>\r\n\r\n<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm_question hide_question_numbers=1]313831[\/ohm_question]<\/section>","rendered":"<section class=\"textbox learningGoals\" aria-label=\"Learning Goals\">\n<ul>\n<li><span data-sheets-root=\"1\">Solve proportions<\/span><\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox recall\" aria-label=\"Recall\">\n<p data-start=\"1715\" data-end=\"1780\">A proportion is an equation that states two ratios are equal:<\/p>\n<p data-start=\"1782\" data-end=\"1824\">[latex]\\frac{a}{b} = \\frac{c}{d}[\/latex]<\/p>\n<p data-start=\"1826\" data-end=\"1878\">To solve a proportion, use cross multiplication:<\/p>\n<p data-start=\"1880\" data-end=\"1920\">[latex]a \\times d = b \\times c[\/latex]<\/p>\n<\/section>\n<section class=\"textbox example\" aria-label=\"Example\">\n<p data-start=\"2007\" data-end=\"2034\">Solve for [latex]x[\/latex]:<\/p>\n<p data-start=\"2036\" data-end=\"2079\">[latex]\\frac{x}{5} = \\frac{6}{10}[\/latex]<\/p>\n<p data-start=\"2081\" data-end=\"2182\">[latex]\\begin{align}  x \\times 10 &= 5 \\times 6 \\\\  10x &= 30 \\\\  x &= 3  \\end{align}[\/latex]<\/p>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm313831\" 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height=\"150\"><\/iframe><\/section>\n","protected":false},"author":67,"menu_order":3,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":221,"module-header":"background_you_need","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/2758"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/users\/67"}],"version-history":[{"count":7,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/2758\/revisions"}],"predecessor-version":[{"id":4753,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/2758\/revisions\/4753"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/parts\/221"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/2758\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/media?parent=2758"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapter-type?post=2758"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/contributor?post=2758"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/license?post=2758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}