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 ft. W

Question

lesantik [10]

2 years ago

9

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 ft. W

hat is the height of the tree?

Mathematics

1 answer:

luda_lava [24] · Answer 1 · 2022-03-08T21:20:33+03:00

luda_lava [24]2 years ago

8 0

At the same time, the sun casts a shadow on the girl and tree creating two similar right triangles. You can use a ratio of girl's height to her shadow will be the same as the tree's height to it's shadow.

5 / 2.5 = T / 14.5
2 = T / 14.5
2 * 14.5 = T
29 ft = Tree