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

Veronica Olsen

Mathematics

8 March, 12:34

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?

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Answers (1)

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Willow Montes · 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.