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To solve for x, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the opposite angle is equal for all sides and their corresponding angles in the triangle.
So, we can set up the proportion:
7 / sin(64) = x / sin(90)
Since sin(90) is equal to 1, we can simplify the equation:
7 / sin(64) = x / 1
To solve for x, we can cross multiply:
x = 7 * sin(90) / sin(64)
x ≈ 7 * 1 / 0.8988
x ≈ 7.7807
Rounding to the nearest tenth, x ≈ 7.8
Therefore, the correct answer is not given.