To determine the height of the Monticello Opera House, your friend tells you to stand in the building's shadow so that the tip of your shadow coincides with the tip of the building's shadow. Your friend claims to be able to use the distance between the tips of the shadows and you, the distance between you and the Opera House, and your height to estimate the height of the Monticello Opera House. Is this possible?
Explain. Include a diagram in your answer.