Question

Area of the Bermuda Triangle. The angle formed by the lines of sight from Ft. Lauderdale, Florida, to Bermuda and to San Juan, Puerto Rico, is approximately 67º. The distance from Ft. Lauderdale to Bermuda is 1026 miles, and the dis- tance from Ft. Lauderdale to San Juan is 1046 miles. Find the area of the Bermuda Triangle, which is formed with these cities as vertices

Answer 1

To find the area of the Bermuda Triangle, use the formula A = (1/2)ab sin(C) with the given side lengths 1026 miles and 1046 miles and the included angle of 67°.

Step-by-step explanation:

The question asks for the area of the Bermuda Triangle, which can be found using the formula for the area of a triangle when two sides and the included angle are known. The area (A) is given by the formula A = (1/2)ab sin(C), where a and b are the lengths of the two sides and C is the included angle. In this case, the sides are 1026 miles (Ft. Lauderdale to Bermuda) and 1046 miles (Ft. Lauderdale to San Juan) with an included angle of 67°.

To find the area of the Bermuda Triangle, substitute the values into the formula:
A = (1/2)(1026 miles)(1046 miles)sin(67°). Using a calculator set to degrees, compute the sine of 67°, multiply by the product of the sides' lengths, and then multiply by 0.5 to get the area in square miles.