A uniform drawbridge must be held at a $39\mathrm{.}0$ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs $45000$ NN$,$ is $13\mathrm{.}5$ mm long, and pivots about a hinge at its lower end. A cable is connected $3\mathrm{.}70$ mm from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. Find the magnitude of the force the hinge exerts on the bridge.

Express your answer in newtons.

Part A

What is the tension in the cable?

Express your answer in newtons.