Question

A bell tower casts a shadow 44 ft long. at the same time, the shadow cast by a vertical yardstick is 26 in. long. how tall is the bell tower (to the nearest foot)? incorrect: your answer is incorrect. ft

Answer 1

To find the height of the bell tower, you can set up a proportion using the lengths of the shadows and solve for the height. The height of the bell tower is approximately 61 feet.

Step-by-step explanation:

To find the height of the bell tower, we can set up a proportion using the lengths of the shadows. Let h represent the height of the bell tower.

We know that the ratio of the length of the bell tower's shadow to the length of the yardstick's shadow is the same as the ratio of their heights.

So, we have:

h / 44 = x / 26

Where x represents the height of the yardstick.

We can cross-multiply and solve for h:

26h = 44 * x

h = (44 * x) / 26

Since the length of the yardstick is typically 36 inches, we can substitute x with 36 in the equation:

h = (44 * 36) / 26

h ≈ 60.92

Therefore, the height of the bell tower is approximately 61 feet.