Abuilding 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 ?

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,

Hence, height of Sarah is 4 ft.

if x = 1, then the answer is 3.5

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,