we know that
In a right triangle NPM
cos 71°=adjacent side angle 71°/hypotenuse
adjacent side angle 71°=side NP
hypotenuse=side NM
NP=15
NM=p
so
cos 71=NP/NM
cos 71=15/p
solve for p
p=15/cos 71°
p=46.07----------->p=46.1 units
therefore
the answer is
46.1
