A building 84 ft high casts a 231-ft shadow. Sarah casts an 11-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?

Question

4 ft

5 ft

6 ft

3 ft

Answer 1

6 ft

Let x be the height of Sarah. Using similar triangles, we can set up the following proportion:

84 ft / 231 ft = x / 11 ft

Solving for x, we get x = 6 ft. So, Sarah is 6 ft tall.