Question

A building 82 ft high casts a 205-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 ?

Answer 1

divide 205 and 82.

HOPE I HELPED

Answer 2

Height of Sarah is 4 ft.

Explanation:

A building 82 ft high casts a 205 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.

Let height of Sarah be x.

Then,
`(82)/(205)=(x)/(10)\\\\x=(820)/(205)\\ \\x=4`

Hence, height of Sarah is 4 ft.