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. | Distance between Miami and Bermuda | 1670 km |

attempt at substituting the cosine rule formula (M1) $\cos \theta=\frac{1660^2+1550^2-1670^2}{2(1660)(1550)}$ A1 $(\theta=) 62.6^\circ(62.5873 \ldots)$(accept $1.09$ rad $(1.09235 \ldots)$) A1

correctly substituted area of triangle formula (M1) $A=\frac{1}{2}(1660)(1550) \sin (62.5873 \ldots)$ A1 $(A=) 1140000(1.14 \times 10^6, 1142043.327 \ldots) \text{ km}^2$ A1

Note: Accept $1150000(1.15 \times 10^6, 1146279.893 \ldots) \text{ km}^2$ from use of $63^\circ$. Other angles and their corresponding sides may be used.