To find the height of the tree, we can use the concept of similar triangles.
Let the height of the tree be x feet.
We have the proportion: (height of Allison) / (shadow of Allison) = (height of the tree) / (shadow of the tree)
Substituting the given values: 5 ft / 2.5 ft = x ft / 14.5 ft
Cross-multiplying, we get: 5 ft * 14.5 ft = 2.5 ft * x ft
Simplifying, we have: 72.5 ft = 2.5 ft * x ft
Dividing both sides by 2.5 ft, we find: x ft = 72.5 ft / 2.5 ft
Therefore, the height of the tree is x = 29 feet.
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 feet.
what is the height of the tree
1 answer