Question

emir found that a cell phone tower that is 45 meters tall casts a shadow 24 meters long. then emir noticed a nearby sailboat mast that is 30 meters tall. how long is the sailboat masts shadow? write your answer as a whole number or a decimal. do not round. meters

Explanation:

Step1: Set up proportion

Since the height and shadow length are proportional, we have $\frac{height\ of\ tower}{shadow\ of\ tower}=\frac{height\ of\ mast}{shadow\ of\ mast}$. Let the shadow length of the mast be $x$. So, $\frac{45}{24}=\frac{30}{x}$.

Step2: Cross - multiply

Cross - multiplying gives $45x = 24\times30$.

Step3: Solve for $x$

First, calculate $24\times30 = 720$. Then, $x=\frac{720}{45}=16$.

Answer:

16