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To find the height of the building, we can use the tangent function:
tan(angle) = opposite/adjacent
In this case, the angle is 64 degrees and the adjacent side (the distance from the bottom of the building) is 100 feet. Let's denote the height of the building as "h".
tan(64) = h/100
To find h, we can rearrange the equation:
h = tan(64) * 100
Using a calculator, we find:
h ≈ 205 ft
Therefore, the height of the building is approximately 205 ft.