A groundhog sitting on its hind legs is 18 inches high and casts a shadow 3 feet, 9 inches long. If a nearby tree casts a shadow

Question

d1i1m1o1n [39]

3 years ago

6

A groundhog sitting on its hind legs is 18 inches high and casts a shadow 3 feet, 9 inches long. If a nearby tree casts a shadow

21 feet, 3 inches long, how tall is the tree?

Mathematics

1 answer:

SIZIF [17.4K] · Answer 1 · 2022-06-10T12:04:42+03:00

SIZIF [17.4K]3 years ago

5 0

Let the height of the tree be x, then
18 inches / 3 feet 9 inches = x / 21 feet 3 inches
18 inches / 45 inches = x / 255 inches
45x = 18 x 255 = 4590
x = 4590 / 45 = 102

Therefore, the tree is 102 inches = 8 feet, 6 inches tall