<p>The Bermuda Triangle is a region of the Atlantic Ocean with Miami (M), Bermuda (B), and San Juan (S) as vertices, as shown on the diagram</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1786190511838-dkezt38j9g7.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3ODYxOTA1MTE4MzgtZGtlenQzOGo5ZzcucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MDE2NTY2NywiZXhwIjoxNzkwMTY1OTY3fQ.ldOVUp3_vIsQ17Z1wpKv1ljDgu_ScRb0s9ogX6swgGk" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>The distances between M, B and S are given in the following table, correct to three significant figures.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 450px;"><colgroup><col style="width: 66.6667%;"><col style="width: 33.3333%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center">Distance between Miami and Bermuda</th><th style="text-align: center; --cell-justify: center">\(1670 \) km</th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">Distance between Bermuda and San Juan</td><td style="text-align: center; --cell-justify: center">\(1550\) km</td></tr><tr><td style="text-align: center; --cell-justify: center">Distance between San Juan and Miami</td><td style="text-align: center; --cell-justify: center">\(1660\) km</td></tr></tbody></table></div></div>
<ol class="abc-list"><li data-list-item-id="item-1786190643518-159uxvi0m" data-list-item-path="item-1786190643518-159uxvi0m"><div class="list-item-paragraph"><p>Calculate the value of \(\theta\), the measure of angle \(\mathrm{M\hat{S}B}\).</p><span class="inline-marks">[3]</span></div></li><li data-list-item-id="item-1786190685307-3n6ac3dt9" data-list-item-path="item-1786190685307-3n6ac3dt9"><div class="list-item-paragraph"><p>Find the area of the Bermuda Triangle.</p><span class="inline-marks">[2]</span></div></li></ol>

The Bermuda Triangle is a region of the Atlantic Ocean with Miami (M), Bermuda (B), and San Juan (S) as vertices, as shown on the diagram

The distances between M, B and S are given in the following table, correct to three significant figures.

<p>Calculate the value of \(\theta\), the measure of angle \(\mathrm{M\hat{S}B}\).</p>

<p>Find the area of the Bermuda Triangle.</p>

Trigonometry

International Baccalaureate Mathematics: Applications and Interpretation Standard Level

2021 IBSL P1 Q2

2021 IBSL P1 Q2

Distance between Miami and Bermuda	\(1670 \) km
Distance between Bermuda and San Juan	\(1550\) km
Distance between San Juan and Miami	\(1660\) km