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

Answer:

Height of Sarah is 4 ft.

Step-by-step 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,$\dfrac{82}{205}=\dfrac{x}{10}\\\\x=\dfrac{820}{205}\\ \\x=4$

Hence, height of Sarah is 4 ft.

Answer 2

Divide 205 and 82.

HOPE I HELPED