Final answer:
To estimate the height of a building given the angle of depression and the distance from the base to a point, we can use the tangent function. In this case, the estimated height of the building is 55 feet.
Step-by-step explanation:
To estimate the height of the building, we can use the tangent function. The angle of depression is the angle between the line of sight to the base of the building and the horizontal. In this case, the angle of depression is 65°.
We can set up a right triangle with the height of the building as the opposite side, the distance from the base to the point as the adjacent side, and the angle of depression as the angle.
Using the tangent function, we can calculate the height of the building by taking the tangent of 65° and multiplying it by the distance from the base to the point.
Estimating the height to the nearest foot, the answer would be 55 feet (option D)