Question

The area in the Atlantic Ocean known as the Bermuda Triangle is defined by an imaginary triangle connecting Miami, Florida; San Juan, Puerto Rico; and the island of Bermuda. Measuring on a map, the distance from both Miami to San Juan and from Miami to Bermuda is approximately 1029 mi. Assuming that the angle from Bermuda to Miami to San Juan is approximately 65°, what is the area of the Bermuda Triangle? Round to the nearest square mile. Round all intermediate steps to four decimal places. Atlantic Ocean Bermuda Miami Caribbean Sea San Juan Puerto Rico Х The area is approximately mi? s

Answer 1

B • (Bermuda ) Ans 1029 N (Miam") mo 165 1029 mi San gaun) let Distance from miami to Bermud & miami to San Jalles 1029 mile Angle between miami to Bermud & miami to dangaum=65° the ches tance from Bermuda to sem gaume u mile. using Casine formula a = b²tc²-abc Cas A (10293+ (10295_ 2x1029x1029 x Cas 65 2 = 1058841 +1058841-2x1058841 X 0.422618 2 a = 22 = 2117682 2117682x0.422618 12 2117682 - 894970.531 2 X - 1222711:47 = 11222711.47 n H = 1105.76285 71 llos.7629 mile a S= atbtc 2 1029 +1o2g +1105.7629 2 S 1581. && 15 mile es 3163.7629 2

By Heron's formule Area of Beymudel triongle = Vo$ (fal (f-b)($-C) Area of Bermulae triangle = V16 1581.8815% (1581.8815–1029) (1581-8815-1029) * (1581-8815 – 1105.7629 =1/1581.8815 552.6815x552.8815 x 476-1166 XV 263237.166 Area of Bermuda triongle = 11581.8815x552.6815 x V552-8815X476.186 874593.017 x/2 Area of Bermuda triangle Area of Bermuda triangle = 479 & 18.077 mi? Ans 93529678 X 513.066 434 or Area af Bermuda triangle 479818 mi 2 Aus