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. Click Here for Help Video.
ℎ=h=h=
The height of the building (h) can be found using the Pythagorean theorem: a^2 + b^2 = c^2, where a = base of the building (13 feet), b = height of the building (h), and c = length of the ladder (38 feet).
Solving for b:
13^2 + h^2 = 38^2
169 + h^2 = 1444
h^2 = 1275
h ≈ √1275
h ≈ 35.7 feet
Therefore, the height of the building is approximately 35.7 feet.