David wants to find the height of a building. He places his 45 feet ladder against the very top of the building. David then measures the base of the building to his ladder ladder which is 13 feet. How tall is the building? Round your answer to the nearest 10th
Using the Pythagorean theorem, we can find the height of the building:
height^2 + 13^2 = 45^2
height^2 + 169 = 2025
height^2 = 2025 - 169
height^2 = 1856
height = √1856
height ≈ 43 feet
Therefore, the height of the building is approximately 43 feet.