Sam is 180cm tall. He stands 60 cm in front of a tall plane mirror.How tall is Sam's image

butt cheeks.

To find out how tall Sam's image is in the mirror, we can use the concept of similar triangles. In this case, we have a right triangle formed by Sam's height, his distance from the mirror, and the height of his image.

Let's set up the proportion:

(Sam's height) / (Sam's distance from the mirror) = (height of Sam's image) / (distance of Sam's image from the mirror)

Given:
Sam's height = 180 cm
Sam's distance from the mirror = 60 cm

Let's represent the height of Sam's image as 'x' and the distance of Sam's image from the mirror as '60 cm' (since it is equal to Sam's distance from the mirror).

Using the proportion, we have:

180 cm / 60 cm = x / 60 cm

To solve for x, we can cross-multiply and divide:

180 cm * 60 cm = x * 60 cm
x = (180 cm * 60 cm) / 60 cm

Simplifying the equation:

x = 180 cm

Therefore, Sam's image is also 180 cm tall in the mirror.