Allison is 5 ft tall. One afternoon her shadow measured 2.5 ft . At the same time, the shadow of her favorite tree was \( 14,5 \mathrm{fL} \). What is the height of the tree? A. 7.25 ft B. 12.5 ft C. 17 ft D. 29 ft

To find the height of the tree, we can set up a proportion based on the heights and shadow lengths. Allison is 5 ft tall with a shadow of 2.5 ft, and the tree's shadow is 14.5 ft. We can use the ratio: \(\frac{Height of Allison}{Shadow of Allison} = \frac{Height of Tree}{Shadow of Tree}\) Plugging in the values: \(\frac{5}{2.5} = \frac{Height of Tree}{14.5}\) From this equation, we find: \(Height of Tree = \frac{5 \times 14.5}{2.5}\) Calculating this gives: \(Height of Tree = 29 \, \text{ft}\) So, the answer is D. 29 ft. --- Shadows can provide us with fascinating insights! The way shadows change throughout the day due to the sun’s position not only impacts a lot in nature but is also used in architecture. Did you know that ancient Greeks relied heavily on knowing the angle of shadows to design their temples and ensure they captured the sun's beauty at specific times of day? Looking to calculate heights without a measuring tape? You can often use shadows in your favor! When you're outside, if you know your height and the length of your shadow, you can easily find the height of any object casting a shadow. Just keep your angles in mind, and you'll be measuring heights like a pro in no time.