Sandy is at point J, looking at a silo. The lines of sight are tangent to the silo at points K and M. The distance from J to K is 23 meters. The angle at point J is 44 degrees. We need to find the distance from J to M.

GeometryTangentsCirclesCongruenceGeometric Proof
2025/5/12

1. Problem Description

Sandy is at point J, looking at a silo. The lines of sight are tangent to the silo at points K and M. The distance from J to K is 23 meters. The angle at point J is 44 degrees. We need to find the distance from J to M.

2. Solution Steps

Since JK and JM are tangents from the same external point J to the circle, they must be congruent.
JK=JMJK = JM
Given JK=23JK = 23 meters, then JM=23JM = 23 meters.

3. Final Answer

23 meters

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