David wants to find the height of a building. He places his 44 foot ladder against the very top of the building. David then measures the base of the building to his ladder which is 10 feet. How tall is the building round your answer to the nearest tenth
We can use the Pythagorean theorem to solve this problem. According to the theorem, the square of the hypotenuse (in this case, the length of the ladder) is equal to the sum of the squares of the two legs (in this case, the height of the building and the base of the building).
Let's denote the height of the building as "h". Then, according to the Pythagorean theorem, we have:
h^2 + 10^2 = 44^2
Simplifying the equation, we get:
h^2 + 100 = 1936
h^2 = 1836
Taking the square root of both sides, we find:
h ≈ 42.9
Therefore, the height of the building is approximately 42.9 feet. Rounded to the nearest tenth, the height is 42.9 feet.