When Marcie stands 5 feet from a light post, her shadow is 6 feet long. Find the height of the light post if Marcie is 4 feet tall.

make a sketch and use the ratio of two similar triangles, assuming her height and the height of the pole are parallel lines

h/11 = 4/6
h = 44/6 = 22/3 feet

To find the height of the light post, we can set up a proportion using the similar triangles formed by Marcie, her shadow, and the light post.

Let's denote the height of the light post as 'h'. The proportion can be set up as follows:

(height of Marcie) / (length of Marcie's shadow) = (height of light post) / (distance of Marcie from the light post)

Substituting the given values, we have:

4 feet / 6 feet = h / 5 feet

To solve for h, we can cross-multiply:

4 feet * 5 feet = 6 feet * h

20 feet = 6 feet * h

To isolate 'h', we divide both sides of the equation by 6 feet:

20 feet / 6 feet = h

By dividing, we find that h is approximately 3.33 feet.

Therefore, the height of the light post is approximately 3.33 feet.