Question

question 37 of 40

a monument casts a 40-foot shadow. adam is 6 feet tall and casts a 5-foot shadow. how tall is the monument?

a. 40 ft
b. 33 ft
c. 48 ft
d. 30 ft

Explanation:

Set up the similarity proportion

$$ \frac{\text{Height of Monument}}{\text{Shadow of Monument}} = \frac{\text{Height of Adam}}{\text{Shadow of Adam}} $$

Substitute the given values

$$ \frac{h}{40} = \frac{6}{5} $$

Solve for the height of the monument

$$ h = 40 \times \frac{6}{5} = 8 \times 6 = 48\text{ ft} $$

Answer:

• (A) 40 ft
• (B) 33 ft
• (C) 48 ft (Correct answer)
• (D) 30 ft