10 pts! pythagorean theorem! find the length of the flagpole cd positioned on top of a building, given the information shown in the diagram:

9.32

Explanation:

25² + BC² = 30²

BC² = 30² - 25²

BC² = 275

BC = 5√11

25² + BD² = 36²

BD² = 36² - 25²

BD² = 671

BD = √671

x = √671 - 5√11

x = 9.32

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.