A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 yards
lower than the green and the angle of elevation from the tee to the hole is 12 degrees,
find the distance from the tee to the hole.

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.