Question

Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lights. She places the mirror on the ground 27 feet from the wall. Clarissa is 9 feet from the mirror, and Clarissa's eyes are 6 feet from the ground.

Label the diagram correctly and then calculate the height of the wall (if necessary, round your answer to 2 decimal places. SHOW ALL YOUR WORK. on label of drawing. ​

Answer 1

`\Huge\mathtt{\underline\pink {Answer}}`

`\tt (27)/(9) = (x)/(6)`

`\tt \: x = 6 * 3 = 18`

So, height is 18 feet

Answer 2

• 18 feet

Explanation:

As per the diagram, the triangles on the left and right are similar.

The ratio of corresponding sides is equal:

• 27/9 = x/6
• x = 6*3
• x = 18

The height of the wall is 18 feet