Using the sine function with theta at 26 degrees and the opposite side measuring 10 units, we find that x ≈ 22.8. Rounding to the nearest tenth, the solution is x ≈ 22.8.
To find the value of x in the given triangle using the sine function, we use the formula sin(theta) = (opposite side) / x. Given that theta is 26 degrees and the opposite side is 10 units, we can set up the equation sin(26 degrees) = 10 / x.
Solving for x, we multiply both sides by x and then divide both sides by sin(26 degrees):
x = 10 / sin(26 degrees) ≈ 22.8
Therefore, the solution for x is approximately 22.8. Rounding to the nearest tenth, we get x ≈ 22.8.