Explain whether the triangles are similar. Label the angle measures in the figure.
\(\triangle ABC\) has angle measures _______and \(\triangle DEF\) has angle measures______. Because _______in one triangle are congruent to ______in the other triangle, the triangles are_____.
A flagpole casts a shadow 23.5 feet long. At the same time of day, Mrs. Gilbert, who is 5.5 feet tall, casts a shadow that is 7.5 feet long. How tall in feet is the flagpole? Round your answer to the nearest tenth.