{"id":20132,"date":"2022-12-17T17:51:53","date_gmt":"2022-12-17T17:51:53","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=10451"},"modified":"2022-12-17T17:51:53","modified_gmt":"2022-12-17T17:51:53","slug":"what-are-the-formulas-for-heights-and-distances","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/12\/17\/what-are-the-formulas-for-heights-and-distances\/","title":{"rendered":"What Are the Formulas for Heights and Distances?"},"content":{"rendered":"\n<p>Trigonometric ratios can be used to find heights and distances. Some useful relations&nbsp;are illustrated by the&nbsp;below-given diagrams which help us to determine heights and distances.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/sneha-heights-and-distances-05-1609418132.png\" alt=\"Formulas for Heights and Distances\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/sneha-heights-and-distances-06-1609418147.png\" alt=\"Hight and distance formula\"\/><\/figure>\n\n\n\n<p><img decoding=\"async\" alt=\"Challenge your math skills\" src=\"https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/challenge-1594989526.png\"><\/p>\n\n\n\n<p>Challenging Question<\/p>\n\n\n\n<ol>\n<li>The angles of depression of the top and the bottom of an&nbsp;8yd8yd&nbsp;tall building from the top of a multi-storeyed building are&nbsp;30\u221830\u2218&nbsp;and&nbsp;45\u221845\u2218, respectively. Find the height of the multi-storeyed building and the distance between the two buildings.Hint: Try to depict the figure according to a given situation.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>How to Find Height and Distances?<\/strong><\/h2>\n\n\n\n<p>To measure the heights and distances of different objects, we use trigonometric ratios.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/sneha-heights-and-distances-07-1609418163.png\" alt=\"How to find height\"\/><\/figure>\n\n\n\n<p>Use the Tangent rule to calculate the height of the tree (above eye level).<br>tan(angle) = opposite\/adjacent<br>Where the opposite is the height of the tree and adjacent is the distance between you and the tree.<\/p>\n\n\n\n<p>This is rearranged to:<br>opposite = tan(angle) x adjacent<\/p>\n\n\n\n<p>or more simply<br>height=tan(angle)\u00d7distanceheight=tan(angle)\u00d7distance<\/p>\n\n\n\n<p>Distance can be calculated as:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/sneha-heights-and-distances-08-1609418178.png\" alt=\"Distance in geometry\"\/><\/figure>\n\n\n\n<p>B (distance)=A (height)tan (e)B (distance)=A (height)tan (e)<\/p>\n\n\n\n<p>Therefore, to calculate&nbsp;BB&nbsp;(distance) we will need the value of&nbsp;AA&nbsp;(height) and angle&nbsp;ee.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Trigonometric ratios can be used to find heights and distances. Some useful relations&nbsp;are illustrated by the&nbsp;below-given diagrams which help us to determine heights and distances. Challenging Question How to Find Height and Distances? To measure the heights and distances of different objects, we use trigonometric ratios.&nbsp; Use the Tangent rule to calculate the height of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[464],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20132"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=20132"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20132\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=20132"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=20132"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=20132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}