A triangle is formed by the building's height and shadow. Another triangle is formed by the flagpole's height and shadow. Using the following diagram find the height of the building

To solve this problem, we can use similar triangles. The building and its shadow form one right triangle, and the flagpole and its shadow form another right triangle. Since the triangles are similar, the ratios of their corresponding sides are equal.Let's denote the height of the building as x (as given in the picture details). The distance from the flag to the building is 32ft, but since the flagpole's shadow is only 2ft away from the building, the length of the building's shadow is 32ft - 2ft = 30ft.Now, we have two similar right triangles with the following dimensions:1. The larger triangle (building and shadow): height x and base 30ft.2. The smaller triangle (flagpole and shadow): height 20ft and base 2ft.The ratio of the height to the base for both triangles should be the same:(height of building) / (shadow of building) = (height of flagpole) / (shadow of flagpole)So, we can write the equation:x / 30 = 20 / 2Now, solve for x:x = (20 / 2) * 30x = 10 * 30x = 300Therefore, the height of the building is 300 feet.Final Answer: The height of the building is 300 feet.