Question

A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long?​

Answer 1

Explanation:

We can set up a proportion to solve this problem:

(height of boy) / (length of boy's shadow) = (height of man) / (length of man's shadow)

We are given that the boy is 3 feet tall and his shadow is 7 feet long. Let's use "h" to represent the height of the man. We are also given that the man's shadow is 14 feet long. Substituting these values into the proportion, we get:

3/7 = h/14

To solve for h, we can cross-multiply and simplify:

3 × 14 = 7h

42 = 7h

h = 42/7

h = 6

Therefore, the man is 6 feet tall.