Answer: 6 feet
Explanation:
The height of the man and the length of his shadow are proportional.
This means that we can use proportions to find the height of the man if we know the length of his shadow.
We can set up a proportion as follows: height of man/length of shadow = (which includes the triangle formed by the man, his shadow, and the man/length constant.
Let's call the constant "k". We don't know the value of "k" yet, but we do know that it will be the same for all similar triangles ground).
Using the measurements given in the problem, we get 6 / 12 = simplifying the left side of the equation gives 1 / 2 = kNow we know that k = 1/2.
We can use this to find the height of the man. Let's call the height "h". We can set up another proportion using the value we just found:h / 12 = 1 / 2
Cross-multiplying gives us: 2h = 12
Simplifying further: h = 6 Therefore, the height of the man is 6 feet.