Question 34662
the solution I found(?) is 24/(4+5) 4+5 is the ratio of the 2 poles or 
24/9=2 2/3 multiply 4*2 2/3=10.6666 & 5*2 2/3=13.3333 thus the hypotenuses of these two triangles are 
A=SQRT10*10+13.333*13.333 OR A=SQRT100+177.768 OR A=SQRT277.768 OR A=16.6666 &
B=SQRT8*8+10.6666*10.6666 OR B=SQRT64+113.76 OR B=SQRT177.76 OR B=13.3333 THUS THE SUM OF THE HYPOTENUSES ARE 16.6666+13.3333 OR 30 FEET. 

(I CHECKED MY ANSWER WITH A STRING AND 2 PINS)