f a pole 9 feet tall casts a shadow of 3 feet, how long of a shadow would a 6 foot man cast?
3. If a pole 9 feet tall casts a shadow of 3 feet, how long of a shadow would a 6 foot man cast?
A. 1 ft
B. 1.5 ft
C. 2 ft
D. 2.5 ft
Show your work
B. 1.5 ft
Explanation: The ratio of the pole's height to its shadow is 9:3. To find the ratio of the man's height to his shadow, we can divide 6 by 9 and then multiply the result by 3. 6/9 = 0.667, and 0.667 x 3 = 2. Therefore, the man's shadow would be 1.5 feet.
We can use a proportion to solve this problem.
Let x be the length of the shadow cast by the 6 foot man. We can set up the proportion:
9 feet / 3 feet = 6 feet / x
To solve for x, we can cross-multiply and simplify:
9 feet * x = 3 feet * 6 feet
x = (3 feet * 6 feet) / 9 feet
x = 2 feet
Therefore, the length of the shadow cast by the 6 foot man would be 2 feet. The correct answer is C: 2 ft.