Respuesta :

Answer:

40 yd

Step-by-step explanation:

Let,

The missing length be = x yd

As we know According to Pythagoras Theorem,

[tex] {50yd}^{2} = {30yd}^{2} + {x \: yd}^{2} [/tex]

[tex] = > 2500 = 900 + {x}^{2} [/tex]

[tex] = > {x}^{2} = 2500 - 900[/tex]

[tex] = > {x}^{2} = 1600[/tex]

[tex] = > x = \sqrt{1600} = \sqrt{40 \times 40} [/tex]

=> x = 40

Hence,

Missing length will be 40 yd (Ans)