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

Mathematics

Davin

18 March, 00:31

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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Stephanie Lee · 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.