Big ifs, question writers. These are of course approximations.
The "co" in cosine comes from complementary angles. It means since
Answer: cos 48° = 2/3
Similarly,
Answer: tan 69.5° = 8/3
Solve the system of equations.
2 answers:
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One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).
