Question

1. stephanie casts a shadow of 1.2 meters and she is 1.8 meters tall. a clock tower casts a shadow of 10 meters at the same time that stephanie measured her shadow. what is the height of the clock tower? please show work on your study guide!

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the clock tower. The ratio of height to shadow length should be equal for Stephanie and the clock tower. So, \(\frac{1.8}{1.2}=\frac{h}{10}\).

Step2: Solve for \( h \)

Cross - multiply: \( 1.2h = 1.8\times10 \). Then \( 1.2h=18 \). Divide both sides by \( 1.2 \): \( h=\frac{18}{1.2}=15 \).

Answer:

The height of the clock tower is 15 meters.