Question
A building 82 ft high casts a 205-ft shadow. Sarah casts a 10-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
4 ft
3 ft
5 ft
6 ft
4 ft
3 ft
5 ft
6 ft
Answers
GPT 3.5
Given that the triangles are similar, the height of Sarah can be found using the proportions of the corresponding sides of the triangles.
Let x be Sarah's height.
From the building triangle:
(82 ft) / (205 ft) = x / 10 ft
Cross multiplying:
205x = 820
x = 4 ft
Therefore, Sarah's height is 4 ft.
Therefore the answer is 4 ft.
Let x be Sarah's height.
From the building triangle:
(82 ft) / (205 ft) = x / 10 ft
Cross multiplying:
205x = 820
x = 4 ft
Therefore, Sarah's height is 4 ft.
Therefore the answer is 4 ft.