{"id":182783,"date":"2025-01-15T02:21:21","date_gmt":"2025-01-15T02:21:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182783"},"modified":"2025-01-15T02:21:24","modified_gmt":"2025-01-15T02:21:24","slug":"which-equation-can-be-used-to-solve-for-b","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/15\/which-equation-can-be-used-to-solve-for-b\/","title":{"rendered":"Which Equation Can Be Used To Solve For B"},"content":{"rendered":"\n

Which Equation Can Be Used To Solve For B? B = (8) Tan (30 Degree) B = 8\/Tan(30 Degree) B = (8) Sin(30 Degree) B = (8) Sin (30 Degree)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct equation to solve for BB is:
B=8\u22c5tan\u2061(30\u2218)B = 8 \\cdot \\tan(30^\\circ)<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

In trigonometry, the tangent function relates the opposite side of a right triangle to the adjacent side. Specifically:
tan\u2061(\u03b8)=oppositeadjacent\\tan(\\theta) = \\frac{\\text{opposite}}{\\text{adjacent}}<\/p>\n\n\n\n

Here, \u03b8\\theta is the angle, opposite\\text{opposite} is the length of the side opposite the angle, and adjacent\\text{adjacent} is the length of the side adjacent to the angle. For this problem, the given angle is 30\u221830^\\circ, the adjacent side has a length of 88, and BB is the opposite side we need to calculate.<\/p>\n\n\n\n

From the tangent formula, rearranging for opposite\\text{opposite}, we get:
opposite=tan\u2061(\u03b8)\u22c5adjacent\\text{opposite} = \\tan(\\theta) \\cdot \\text{adjacent}
Substituting \u03b8=30\u2218\\theta = 30^\\circ and adjacent=8\\text{adjacent} = 8:
B=8\u22c5tan\u2061(30\u2218)B = 8 \\cdot \\tan(30^\\circ)<\/p>\n\n\n\n

Why the Other Equations Are Incorrect:<\/h4>\n\n\n\n
    \n
  1. B=8\/tan\u2061(30\u2218)B = 8 \/ \\tan(30^\\circ):<\/strong>
    This equation assumes the roles of the opposite and adjacent sides are reversed. Dividing 88 by tan\u2061(30\u2218)\\tan(30^\\circ) would calculate the hypotenuse or a side not relevant to this context.<\/li>\n\n\n\n
  2. B=8\u22c5sin\u2061(30\u2218)B = 8 \\cdot \\sin(30^\\circ):<\/strong>
    The sine function relates the opposite side to the hypotenuse (sin\u2061(\u03b8)=oppositehypotenuse\\sin(\\theta) = \\frac{\\text{opposite}}{\\text{hypotenuse}}). Using sine would require 88 to represent the hypotenuse, which it does not.<\/li>\n\n\n\n
  3. Repeated B=8\u22c5sin\u2061(30\u2218)B = 8 \\cdot \\sin(30^\\circ):<\/strong>
    This redundancy reiterates the same incorrect logic about using the sine function.<\/li>\n<\/ol>\n\n\n\n

    Therefore, the correct equation is B=8\u22c5tan\u2061(30\u2218)B = 8 \\cdot \\tan(30^\\circ). Using this formula ensures the calculation aligns with the proper trigonometric relationship for a triangle’s sides.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Which Equation Can Be Used To Solve For B? B = (8) Tan (30 Degree) B = 8\/Tan(30 Degree) B = (8) Sin(30 Degree) B = (8) Sin (30 Degree) The correct answer and explanation is: The correct equation to solve for BB is:B=8\u22c5tan\u2061(30\u2218)B = 8 \\cdot \\tan(30^\\circ) Explanation: In trigonometry, the tangent function relates […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-182783","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182783","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=182783"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182783\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182783"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182783"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182783"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}