To find the search area of the triangle, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, the two adjacent sides of the triangle form the base and height. We need to find the area of the triangle using the lengths of the adjacent sides.
To find the area, we'll use the formula:
Area = (1/2) * side1 * side2 * sin(angle)
First, let's find the value of sin(angle) using the given angle of 35 degrees:
sin(35 degrees) = 0.5736 (approximately)
Now, we can substitute the given values into the formula:
Area = (1/2) * 2.75 miles * 1.32 miles * 0.5736
Area = 1.49074 square miles
Rounding this value to the nearest hundredths, we get:
Area ≈ 1.49 square miles
Therefore, the search area is approximately 1.49 mi².