The area of a right triangle is given by the formula:
Area = 1/2 * base * height
Substituting the values given in the problem:
Area = 1/2 * 45 meters * 16 and 3/4 meters
To simplify the computation, we convert the mixed fraction 16 and 3/4 to an improper fraction:
16 and 3/4 = (16 * 4 + 3) / 4 = 67/4 meters
Substituting this value, we get:
Area = 1/2 * 45 meters * 67/4 meters
Simplifying:
Area = 843.75 square meters
Therefore, the area of the right triangle is 843.75 square meters.