$1.$ A $10\mathrm{.}0$m long pole with a mass of $25\mathrm{.}0$ kg is attached to a wall by a hinge at one end. It is held horizontal by a cable that is attached to an unknown location on the pole. The tension of the cable is $185$N and it makes a $65\mathrm{.}0$ angle with the pole.

a$)$ Where is the cable attached? Give as a distance from the hinge.

b$)$ What will be the magnitude and direction of the hinge force?

c$)$ Suppose the cable will break if its tension reaches $199$ N$.$ A $10\mathrm{.}0$ kg monkey starts to walk out onto the pole, starting at the wall. How far from the wall can the monkey get before the cable breaks?