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.
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
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