Answer:
14 ft
Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent.
m∠MNP = 90° so we can use Pythagorean theorem:
[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]
