A football field is sloped from the center toward the sides for drainage. The height \( h \), in feet, of the field, \( x \) feet from the side, is given by \( h=-0.00075 x^{2}+0.06 x \). Find the height of the field a distance of 35 feet from the side. The height of the field is \( \square \) feet. (Round to the nearest tenth as needed.)

To find the height of the field a distance of 35 feet from the side, we can plug \( x = 35 \) into the given height equation \( h = -0.00075x^2 + 0.06x \). Calculating step by step: 1. First, calculate \( x^2 \): \[ 35^2 = 1225. \] 2. Now, substitute \( x \) into the equation: \[ h = -0.00075(1225) + 0.06(35). \] 3. Calculate \( -0.00075(1225) \): \[ -0.00075 \times 1225 = -0.91875. \] 4. Now calculate \( 0.06(35) \): \[ 0.06 \times 35 = 2.1. \] 5. Finally, add the two results together: \[ h = -0.91875 + 2.1 = 1.18125. \] Rounding to the nearest tenth, the height of the field is approximately **1.2 feet**.