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Cross multiply and solve for x.
45/90 = x/144
45/90 = x/144
Let's assume the height of the boy is represented by "h" and the length of his shadow is represented by "s." Similarly, we can assume the height of the father is represented by "H" and the length of his shadow is represented by "S."
We can set up a proportion using the similar triangles:
h / s = H / S
Given that the boy is 45 inches tall and his shadow is 90 inches long, we can plug in these values into the proportion:
45 / 90 = H / 144
Now, we can solve for "H" by cross multiplying:
45 * 144 = 90 * H
6480 = 90H
Divide both sides of the equation by 90:
6480 / 90 = H
H = 72
Therefore, the height of the father is 72 inches.