Consider again the ladder in Figure P8.38. We saw in Problem 8.38 that the force supplie...

Consider again the ladder in Figure P8.38. We saw in Problem 8.38 that the force supplied by the person increases with increasing angle as the ladder is initially lifted off the ground. When the ladder is sufficiently high (the angle is sufficiently large), though, it becomes easier to raise the ladder higher (i.e., the necessary applied force becomes smaller). Find the angle at which that happens.