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?

Question

Mathematics

London

29 December, 18:46

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?

+3

Answers (1)

Know the Answer?

Sylvia Oliver · Answer 1

This can be solved by similar triangles, which means you can cross multiply and divide. 78/195=x/10. 78 (10) = 780 and divide 780 by 195, you'll get the answer is 4. This means Sarah is 4 ft tall.