David wants to find the height of a building. He places his 383838 feet ladder against the very top of the building. David then measures the base of the building to his ladder which is 131313 feet. How tall is the building? Round your answer to the nearest tenth.

Using the Pythagorean theorem, we can find the height of the building.

Height of building = sqrt(383838^2 - 131313^2)
Height of building = sqrt(14732940284 - 1720312689)
Height of building = sqrt(13012627695)
Height of building ≈ 114151.1 feet

Therefore, the height of the building is approximately 114151.1 feet.