Hello, @ geometry dash breeze, to find the value of X, we can use the concept of similar triangles. Let's denote the distances from the corners of the field to the corners of the top of the tower as follows:

• Let $ABCD$ represent the base of the tower in the shape of a rectangle.
• Let $EFGH$ represent the top of the tower, which is also a rectangle.
• The cables are stretched from the corners of the field to the corners of the top of the tower. Let these points be denoted as follows: $A\to E$, $B\to F$, $C\to G$, and $D\to H$.

Given that the tower is a truncated rectangular pyramid, we can consider the triangles formed by connecting these points:

• $△ABC$ and $△EFG$ are similar triangles, as are $△ACD$ and $△EHD$.

From the given information, we have:

• $AC=95$, $CD=109$, and $DA=125$.
• Let $X$ be the length of cable $EH$, which corresponds to the unknown side length.

By the properties of similar triangles:

$\frac{AC}{AE}=\frac{CD}{EF}=\frac{DA}{EG}$

We can set up the proportion based on the known side lengths:

Posted by Joseph Worrell on 2024-09-10 00:03:06