I worked for a company where I had to climb 6 to 10 towers a day 80 to 200 feet (grain elevators and water towers) while dragging equipment up. The first water tower I was on I got real shakey and I'm not even scared of heights in the slightest.
Honostly, the only way I overcame the shakes was to learn to enjoy the benefits of being up so high - like seeing how beautiful a town looks from above.
After that all climbs were a piece of cake and the only thing I had to really worry about was the lightning