Question

Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. To the nearest hundredth, find the search area. 2.08 mi². 2.97 mi². 1.49 mi². 1.04 mi².

Answer 1

1.04 mi²

Explanation:

Answer 2

If we are given with only two sides of the triangle and an angle between them, the area may be determine by the equation,
A = ab(sin C) / 2
where a and b are the sides and C is the included angle. Substituting the known values,
A = (2.75 miles)(1.32 miles)(sin 35°) / 2
The area is approximately equal to 1.04 mi². Therefore, the answer is the fourth choice.