"Climb to the top of the Eiffel Tower" is a mission objective in Server Bridge Paris 1944
Head over to the left. You will see some fencing you can run and jump at. This is the starting point for the big climb here. Go around to the long part of the elevator cars. From there start climbing upwards.
Head on up this elevator track. Something will shoot at the elevator track ahead of Arno. This exposes some electrical fencing. Move over to the right as you continue your climb to avoid being zapped off the tower. As you get to the top of the track, look to the right. You will see a ladder. Head over to it and climb up it.
Head along the walkway and follow it to the left. You will see some incoming planes. Duck into cover. The planes will start shooting at Arno. If exposed they can do significant, if not fatal, damage. When they leave, break from cover. Continue along the walkway.
Just after the next corner, you will find the first machine gun. You can use this to shoot and down the attacking planes. Remember to lead the shots some because of the distance the bullets must travel. After that head over to the left. Climb up the nearby crates. Continue straight forward. This will lead you to a blimp you need to climb onto.
Turn to the stern of the blimp you are on. Climb onto the tail. From there run back to the Tower using the rope. When you make it the platform on the tower you will see a lift. Run over to it to activate it and launch Arno upwards. Just start upwards again from there.
As you climb upwards, remember to watch out for the search lights. Move to the right as needed. When you near the top of this climbing section you will start to see barbed wire. Head over tot he left and swing inside the tower when you can. Once inside go for the Elevator car you will in the middle. Approach it as you would a lift to get a big boost upwards.
Go over to the right when Arno lands and climb upwards. From there you will need to head forward and up the stairs going to the left. When you emerge outside, Arno will be attacked by another plane. You can either ignore it and have to deal with throughout the next climb or shoot it down with the machine gun.