The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
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The triangles are not similar because the smallest sides are 6/10 = 3/5, the medium sides are 8/24 = 1/3, and the longest sides are 10/26 = 5/13 and similar triangles must have the same ratio for all three sides.
4.50×6=27.00. the total cost of the box will be $27.00