Question

The sun casts a shadow on a building and a flagpole. The building is 100 feet tall and its shadow is 25 feet. The flagpole has a shadow of 5 feet two triangles shown are similar. How tall is the flagpole?

Answer 1

The height of the flagpole is 20 feet.

Step-by-step explanation:

To determine the height of the flagpole, we can set up a proportion using the information given. Let's call the height of the flagpole "x". According to the information provided, the ratio of the height of the building to its shadow is equal to the ratio of the height of the flagpole to its shadow. So, we can set up the proportion:

100/25 = x/5

Cross-multiplying, we have 100 * 5 = 25 * x, which simplifies to:

x = (100 * 5) / 25 = 20 feet

Therefore, the height of the flagpole is 20 feet.

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