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.

Question

Arely Griffith

Mathematics

8 June, 11:19

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.

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Answers (1)

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Leila Rosario · Answer 1

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.