Question

camille found that a maple tree that is 8 feet tall casts a shadow 15 feet long. then camille noticed that a cherry tree nearby casts a shadow 30 feet long. how tall is the cherry tree? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up proportion

Let $h$ = height of cherry tree.
$$\frac{\text{Height of maple tree}}{\text{Length of maple shadow}} = \frac{\text{Height of cherry tree}}{\text{Length of cherry shadow}}$$
$$\frac{8}{15} = \frac{h}{30}$$

Step2: Solve for $h$

Multiply both sides by 30.
$$h = \frac{8 \times 30}{15}$$

Step3: Calculate the value

Simplify the expression.
$$h = 8 \times 2 = 16$$

Answer:

16 feet