a horizontal force Pushes a 80 N box up a frictionless 37 degree incline at a constant velocity as shown.?

What is the magnitude of P in newtons?

Fp = 80*sin37 = 48.1 N. = Force parallel

to incline.

The force that moves the box up the incline is parallel to the incline.

Fap/sin37 - Fp = ma
Fap/sin37 - 48.1 = m*a = m*0 = 0
Fap/sin37 = 48.1
Fap = 48.1*sin37 = 29 N.=Force applied.