This problem can be solved using similar triangles. The height of the building and its shadow form one triangle, and the height of the pole and its shadow form a smaller, similar triangle.

The ratio of the height to the shadow length is the same for both triangles.

Let's denote the height of the building as H.

We know that the height of the pole to its shadow is 9ft to 5.5ft, so we can write this ratio as 9/5.5.

We also know that the height of the building to its shadow is H to 199ft, so we can write this ratio as H/199.

Since the ratios are equal, we can set them equal to each other and solve for H:

9/5.5 = H/199

Cross-multiplying gives us:

5.5H = 9*199

Solving for H gives us:

H = (9*199) / 5.5

Calculating this gives us:

H = 324.5454545454545

Rounding to the nearest foot gives us a height of 325 feet for the building.

Question

This problem can be solved using similar triangles. The height of the building and its shadow form one triangle, and the height of the pole and its shadow form a smaller, similar triangle.

The ratio of the height to the shadow length is the same for both triangles.

Let's denote the height of the building as H.

We know that the height of the pole to its shadow is 9ft to 5.5ft, so we can write this ratio as 9/5.5.

We also know that the height of the building to its shadow is H to 199ft, so we can write this ratio as H/199.

Since the ratios are equal, we can set them equal to each other and solve for H:

9/5.5 = H/199

Cross-multiplying gives us:

5.5H = 9*199

Solving for H gives us:

H = (9*199) / 5.5

Calculating this gives us:

H = 324.5454545454545

Rounding to the nearest foot gives us a height of 325 feet for the building.

Knowee AI · Accepted Answer