Question
A building 78 ft high casts a 195-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
5 ft
3 ft
6 ft
Answers
GPT 3.5
Given that the triangles formed by the building and its shadow, and Sarah and her shadow are similar, their corresponding sides will be in the same ratio.
Let x be Sarah's height.
Height of the building (78 ft) / Length of its shadow (195 ft) = Sarah's height (x) / Length of her shadow (10 ft)
78 / 195 = x / 10
0.4 = x / 10
x = 4 ft
Therefore, Sarah is 4 ft tall. So the answer is 4 ft.
Let x be Sarah's height.
Height of the building (78 ft) / Length of its shadow (195 ft) = Sarah's height (x) / Length of her shadow (10 ft)
78 / 195 = x / 10
0.4 = x / 10
x = 4 ft
Therefore, Sarah is 4 ft tall. So the answer is 4 ft.