Question

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

a) 4 feet
b) 3 feet
c) 6 feet
d) 5 feet

Answer 1

so 84 casts 231
then x casts 11
84/231=x/11
solve for x
mulitply both sides by 11
924/231=x=4
sarah is 4 feet

Answer 2

231/11 = 84/X => X = 11 * 84 / 231 = 4 = > Sara is 4 feet tall.