Model with Mathematics On a separate sheet of paper, draw two different triangles so that each one contains both of the angles shown. Then verify that they are similar by determining which transformation will map one onto the other.
Persevere with Problems You cut a circular hole \(\cfrac{1}{4}\)-inch in diameter in a piece of cardboard. With the cardboard 30 inches from your face, the Moon fits exactly into the hole. The Moon is about 240,000 miles from Earth. Is the Moon's diameter more that 1,500 miles? Justify your reasoning.
Reason Inductively Mila wants to estimate the height of a statue in a local park. Mila's height and both shadow lengths are shown in the diagram. Is an estimate of 15 feet reasonable for the statue's height? Explain your reasoning.