Question

a pine trees shadow is 56 yards long. not far away, a clock towers shadow is 39.2 yards long. if the pine tree is 33 yards tall, how tall is the clock tower? write your answer as a whole number or a decimal. do not round. yards

Explanation:

Step1: Set up the proportion

Let \( h \) be the height of the clock tower. The proportion is \(\frac{\text{height of pine tree}}{\text{length of pine tree's shadow}}=\frac{\text{height of clock tower}}{\text{length of clock tower's shadow}}\), so \(\frac{33}{56}=\frac{h}{39.2}\).

Step2: Solve for \( h \)

Cross - multiply: \(56h = 33\times39.2\). Then \(h=\frac{33\times39.2}{56}\). Calculate \(33\times39.2 = 1293.6\). Then \(h=\frac{1293.6}{56}=23.1\).

Answer:

\(23.1\)