Answer: 2.87 units
Step-by-step explanation:
The cosine of an angle can be calculated by dividing the side adjacent to the angle by the hypotenuse. This can be written as:
cos(θ) = adjacent/hypotenuse
According to the figure given, the angle (θ) is 17°, the adjacent side is a, and the hypotenuse is 3. Let's substitute these values into the formula:
cos(17°) = a/3
Solve for a:
3cos(17°) = a
a = 2.87
The length of side a is 2.87 units.
