Question

A bell tower casts a shadow 22 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)?

Answer 1

The height of the bell tower is approximately 3 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's assume the height of the bell tower is 'h' feet. We have the proportion: (h ft) / (22 ft) = (x in) / (26 in), where 'x' is the height of the yardstick in inches. We can cross-multiply and solve for 'h'.

First, let's convert the shadow length of the yardstick to feet. Since 1 yard = 3 feet, we have (4 ft) / (1 yd) = (x in) / (26 in).

Using this conversion, we have (h ft) / (22 ft) = (4 ft) / (26 in). Cross-multiplying gives us (h ft) = (4 ft) * (22 ft) / (26 in), which simplifies to (h ft) = 3.38 ft.

Rounding to the nearest foot, the height of the bell tower is approximately 3 feet.