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.
(1 point)
A.2.03 mi ^ 2
B.2.97mi^2
C.149 mi^2
D.01.04 mi^2
To find the area of the triangle, we can use the formula:
Area = (1/2) * (a) * (b) * sin(c)
where a and b are the lengths of the adjacent sides, and c is the angle between them.
Given:
Adjacent side a = 2.75 miles
Adjacent side b = 1.32 miles
Angle c = 35°
Plugging these values into the formula, we get:
Area = (1/2) * (2.75) * (1.32) * sin(35°)
Using a calculator, we find that sin(35°) = 0.5735.
Area = (1/2) * (2.75) * (1.32) * 0.5735
Area ≈ 1.42 mi^2
Rounding to the nearest hundredth, the search area is approximately 1.42 mi^2.