9514 1404 393
Answer:
43.3 ft
Step-by-step explanation:
If r is the pool radius, the distance from my position to the nearest pool edge is (50-r) and the distance to the farthest pool edge is (50+r). The product of these distances is the square of the distance to the tangent point:
(50 -r)(50 +r) = 25²
2500 -625 = r² . . . . . . add r²-625
r = √1875 ≈ 43.301
The radius of the pool is approximately 43.3 feet.
