Solve for x. Round to the nearest tenth, if necessary.
X
Y
Z
66°
x
7.5
To solve for x, we can use the Law of Sines formula:
sin(x) / 7.5 = sin(66°) / Y
Since we are given Y = Z = 66°, we can simplify the formula to:
sin(x) / 7.5 = sin(66°) / sin(66°)
sin(x) = 7.5 * sin(66°) / sin(66°)
sin(x) = 7.5
x = sin^(-1)(7.5) = 87.3°
Therefore, x is approximately 87.3° rounded to the nearest tenth.