A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object is launched off an elevated surface. The model indicates the object has an initial height of $10$ feet above the ground and reaches its maximum height of $\mathrm{1,034}$ feet above the ground $8$ seconds after being launched. Based on the model, what is the height, in feet, of the object above the ground $10$ seconds after being launched?