Answer:
Step-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have
[tex]leg=40ft,\ leg=30ft,\ hypotenuse=x[/tex]
Substitute:
[tex]40^2+30^2=x^2\\\\1600+900=x^2\\\\2500=x^2\to x=\sqrt{2500}\\\\x=50\ ft[/tex]
You can see that you have a right triangle in the figure is a right triangle, which means that you can find the hypotenuse using the Pythagorean theorem:
[tex]d = \sqrt{30^2+40^2}=\sqrt{900+1600}=\sqrt{2500} = 50[/tex]
