In the sunlight, a cactus casts a 9 ft shadow. at the same time an oversized groundhog 6 ft tall casts a 4 ft shadow. use similar triangles to find the height of the cactus. a. 11.69 ft c. 13.5 ft b. 10.53 ft d. 10.2 ft

The height of the cactus is 13.5 ft.

C is correct.

Step-by-step explanation:

In the sunlight, a cactus casts a 9 ft shadow.

At the same time an oversized groundhog 6 ft tall casts a 4 ft shadow.

Ratio of shadow to height is same for all at same time.

Ratio of groudhog

Let the height of the cactus be x ft

Ratio of cactus

Both ratio must be equation because similar triangle theorem, Ratio of two sides is equal.

Therefore,

Now we solve for x

ft

Hence, The height of the cactus is 13.5 ft.