Question

leah wants to know the height of a lemon tree. if the lemon tree casts a shadow 30 feet long and a nearby fir tree that is 8 feet tall casts a shadow 15 feet long, then how tall is the lemon tree? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up the proportion

Let the height of the lemon tree be \(x\). The proportion is \(\frac{x}{30}=\frac{8}{15}\).

Step2: Solve the proportion

Cross - multiply: \(15x = 8\times30\).
So, \(15x=240\).
Then, \(x=\frac{240}{15}\).

Step3: Calculate the value of \(x\)

\(x = 16\).

Answer:

16