Final answer:
To calculate the height of the cell phone tower, use the tangent of the angle of elevation (75 degrees) multiplied by the distance from the observer to the base of the tower (28 ft), resulting in approximately 104.496 ft.
Step-by-step explanation:
The student's question concerns finding the height of a cell phone tower given the angle of elevation and the distance from the observer to the base of the tower. This is a trigonometry problem that involves the use of tangent function, which is a ratio of the opposite side to the adjacent side in a right-angled triangle.
To find the height of the tower, we use the formula height = tan(angle) × distance. In this case, the angle of elevation is 75 degrees and the distance from Mindy to the base of the tower is 28 ft.
Using a calculator, we find that tan(75 degrees) is approximately 3.732. Thus, the height of the tower is 3.732 × 28 ft, which is approximately 104.496 ft.