feet in one mile.)How far can Marksee to the horizon?
We start by drawingthe figureabove.The distanceto the horizonis givenby the line segment.Let us convertthe heightof the mountainfrom feet into miles.Since is tangentto the Earth, is a right triangleand we can use the PythagoreanTheorem.Converseof a Tangentto a Circle
Converseof a Tangentto a CircleTheoremIf a line is perpendicularto the radiusof
a circleat its outerendpoint,then the line is tangentto the circle.