Answer: 5.08 units
Step-by-step explanation:
The sine of an angle can be calculated by dividing the side opposite of the angle by the hypotenuse. This is given by the following equation:
sin(θ) = opposite/hypotenuse
According to the given figure, the angle (θ) is 80°, the side opposite of the angle is 5, and the hypotenuse is c. Let's substitute these values into the equation:
sin(80°) = 5/c
Solve for c:
c·sin(80°) = 5
c = 5/sin(80°)
c = 5.08
The length of side c is 5.08 units.
