In every right triangle, if you add up the squares of the two shorter sides, you get the square of the longest side. If you don't then it's not a right triangle.
10² = 100 24² = 576
100 + 576 = 676
676 is the square of 26. It's NOT the square of 28.
The height of a dam: h = x + 1.65 m, where: x = 90 m · tan 26° x = 90 · 0.4877 x = 43.90 h = 43.90 m + 1.65 m = 45.55 m Answer: The height of the dam is 45.5 m.