Final answer:
The height of the trapezoid is 14 yards.
Step-by-step explanation:
The formula for the area of a trapezoid is A = (1/2)(b1 + b2)h where A is the area, b1 and b2 are the lengths of the bases, and h is the height. In this case, the area of the trapezoid is given as 126 square yards, and the lengths of the bases are 17 yards and 1 yard. We can plug these values into the area formula and solve for h.
126 = (1/2)(17 + 1)h
126 = (9)(h)
h = 126/9 = 14
The height of the trapezoid is 14 yard