A lookout tower that is 15 meters tall casts a shadow 8 meters long. If a nearby stone tower is 45 meters tall, how long will the stone tower's shadow be? Write your answer as a whole number or a decimal. Do not round.

To determine the length of the stone tower's shadow, we can use the concept of similar triangles. The ratio of the height of a tower to the length of its shadow remains constant when the sun's angle is the same. Given: - Lookout tower height = 15 meters - Lookout tower's shadow = 8 meters - Stone tower height = 45 meters Let \( x \) be the length of the stone tower's shadow. Setting up the proportion: \[ \frac{15}{8} = \frac{45}{x} \] Cross-multiplying to solve for \( x \): \[ 15x = 45 \times 8 \] \[ 15x = 360 \] \[ x = \frac{360}{15} \] \[ x = 24 \] **Answer:** 24