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)
Responses
2.08 mi²
2.08 mi²
2.97 mi²
2.97 mi²
1.49 mi²
1.49 mi²
1.04 mi²
To find the area of the triangle, we can use the formula A = 0.5 * side1 * side2 * sin(angle). Plugging in the given values, we have:
A = 0.5 * 2.75 * 1.32 * sin(35°)
Using a calculator to evaluate sin(35°), we find that sin(35°) ≈ 0.5736.
Plugging this value back into the formula, we have:
A = 0.5 * 2.75 * 1.32 * 0.5736 ≈ 2.08 mi²
Therefore, the search area is approximately 2.08 mi².