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

Question

Chandler Bautista

Mathematics

25 October, 16:30

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

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Casey · Answer 1

6/4 = x/9

x = 6.9 / 4

x = 27 / 2 = 13,5

6/4 is the ratio of the grounding's actual height to its shadow's length. Since the shadow must have the same ratio for the cactus as well, we input the shadow's length and we put an x for the part we do not know (the actual length.) Then we use basic algebra to solve.