Finding the Opposite Side in a Right Triangle Using Trigonometry

Consider a right triangle in which the angle θ is positioned such that the length of the adjacent side is 8 units and the length of the opposite side is represented as h. The sine of the angle θ can be defined using the ratio of the opposite side to the hypotenuse. The cosine can be defined as the ratio of the adjacent side to the hypotenuse. If the hypotenuse is given as c, express the lengths of h and c using trigonometric identities, assuming you know that the sine of θ is equal to 0.6.

Using this information, calculate the length of h and place your answer in the grid, rounded to two decimal places.