Question

modeling real life a pile is a post - like support made of timber, steel, or concrete used in foundations that are driven deep into the ground to support structures such as piers. while the tide is out, a pile at old pier in naples florida, casts a shadow that is 31 inches long. at the same time, a person standing on the shore who is 6 feet 4 inches tall casts a shadow that is 45 inches long. how much of the pile is above the water? round your answer to the nearest feet and inches. about □ feet □ inches

Explanation:

Step1: Convert height to inches

6 feet 4 inches = $6\times12 + 4 = 76$ inches

Step2: Set up proportion

Let $h$ = pile height (in inches).
$\frac{h}{31} = \frac{76}{45}$

Step3: Solve for $h$

$h = \frac{76\times31}{45} = \frac{2356}{45} \approx 52.36$ inches

Step4: Convert to feet/inches

$52.36$ inches = $4$ feet + $(52.36 - 4\times12)$ inches = $4$ feet + $4.36$ inches, rounded to 4 inches

Answer:

About 4 feet 4 inches