To find the height of a triangle, we can use the formula:
Area = (1/2) * base * height
We are given that the area is 3 3/4 square feet and the base is 1.5 feet. Let's substitute these values into the formula and solve for the height:
3 3/4 = (1/2) * 1.5 * height
To simplify the fraction, we can convert 3 3/4 to an improper fraction:
3 3/4 = (4 * 3 + 3) / 4 = 15/4
Now, let's substitute the values into the formula:
15/4 = (1/2) * 1.5 * height
To solve for height, we can rearrange the equation:
height = (15/4) / ((1/2) * 1.5)
height = (15/4) / (3/2)
height = (15/4) * (2/3)
height = (15 * 2) / (4 * 3)
height = 30/12
height = 2.5
Therefore, the height of the triangle is 2.5 feet.