Answer:
40 ft
Step-by-step explanation:
The fiagram shows the right triangle (one angle is right angle).
By the Pythagorean theorem,
[tex]\text{Leg}_1^2+\text{Leg}_2^2=\text{Hypotenuse}^2[/tex]
From the diagram,
[tex]\text{Leg}_1=24\ ft\\ \\\text{Leg}_2=32\ ft\\ \\\text{Hypotenuse}=c\ ft,[/tex]
then
[tex]24^2+32^2=c^2\\ \\c^2=576+1,024\\ \\c^2=1,600\\ \\c^2=40^2\\ \\c=40\ ft[/tex]
