The height of a pen holder is 8.5 cm and the length of it shadow is 10 cm. The picture frame next to it is 6 cm tall, what is the length of its shadow?

Answer 1

To find the length of the picture frame's shadow, we can use the concept of similar triangles.

Let x be the length of the picture frame's shadow.

By setting up the proportion of the heights and lengths:

8.5 cm / 10 cm = 6 cm / x

Solving for x:

x = (10 cm * 6 cm) / 8.5 cm
x = 60 / 8.5
x = 7.06 cm

Therefore, the length of the picture frame's shadow is 7.06 cm.