If the ladder was move so that its base is located 10 feet from the base of the chimney, how high up the chimney will the top of the ladder be?
(Current measurements: C: 25, A: 15, B: 20.)
To find the height up the chimney where the top of the ladder will be located, we can use the Pythagorean theorem.
Let's denote the vertical height up the chimney as x.
Using the Pythagorean theorem:
a^2 + b^2 = c^2
(10)^2 + x^2 = 25^2
100 + x^2 = 625
x^2 = 625 - 100
x^2 = 525
x = √525
x ≈ 22.91 feet
Therefore, the top of the ladder will be located approximately 22.91 feet up the chimney.