Answer:
245 yards
Step-by-step explanation:
You could say the tee is at (0, 0) and the hole lies on the x-axis.
The path of the ball is the straight-line so, y = tan(24°)x
215cos(24°) = 196.4
215sin(24°) = 87.4
The ball lands at coordinates (196.4, 87.4).
They say the ball lands 100 yards from the hole, the hole is on a circle of radius 100 that is centered at (196.4, 87.4).
Equation of the circle:
(x-196.4)² + (y-87.4)² = 100²
Since the hole is on the x-axis, it lies at the intersection of the circle and the line y = 0 so:
(x - 196.4)² + (0 - 87.4)² = 100²
x = 244.92
The distance between tee and hole is 245 yards.
