sin 30° = 5/x and x = 2.5. We can find the length side of the side labeled x with the equation sin 30° = 5/x where x = 2.5.
This problem can be solved by using trigonometry, which is part of the mathematics that studies the relationships between the sides and angles of a triangle.
Using the equation sin θ = opposite leg/hypotenuse, with θ = 30°, opposite leg = 5, and hypotenuse = x.
sin 30° = 5/x (Part A)
To find x:
x = sin 30° (5) = (0.5)(5)
x = 2.5 (Part B)