Answer:
5.44 units
Step-by-step explanation:
We need to use trigonometry.
Notice that we want to find the side opposite the angle marked 65 degrees. We are given the length of the hypotenuse, which is 6. Suppose the length of the opposite side is x. So, we need to use sine, which is opposite ÷ hypotenuse:
sin(65°) = x ÷ 6
Multiply both sides by 6:
x = 6 × sin(65°) ≈ 5.44 units
