To find the slope of the line, simply remember the basic equation for the slope intercept.
Y = mx +/- b
Where m = slope or rise/run
b = y intercept.
In this case the slope is a negative value and is -5/2.
You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
If you draw this triangle on a graph as described, tan theta is -4(square root)33/33
[((2 / 75.5) - 3) * 2]3 (make 3 an exponent.)