Wilma's eyes are 5 feet above the ground. she sets a mirror on the ground so she can see the top of a nearby tower. the mirror is 5.5 feet away from wilma and 75 feet away from the base of the tower. estimate the height of the tower using similar triangles. round the height to the nearest foot.

Law of reflection of mirrors states that the angle of incidence is equal to the angle of reflection.
In the current scenario, the reflected ray is what Wilma sees while from the  top of the tower to the mirror is the incident ray.
Using trigonometry, Wilma's eye, Wilma's foot and the mirror forms a right angled triangle with one leg being 5 ft and the other being 5.5 ft.
Therefore,
Angle of incidence, i = tan^-1 (5.5/5) = 47.726°
Angle of reflection, r = angle of incidence, i = 47.726°

Similarly, tan r = 75/Height of tower => Height of tower = 75/tan 47.726° = 68.1818 ft

Rounding to nearest ft;
Height of the tower = 68 ft

The first option would be correct if it were one half and not one