Answer:
The correct option is 4.
Explanation:
According to the Pythagoras theorem, the sum of squares of two legs of a triangle is equal to the square of the hypotenuse of the triangle.
![(hypotenuse)^2=(leg_1)^2+(leg_2)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r6ak992unaougr7imgf21gabs56s8c7fsk.png)
From the given figure it is clear that the length of one leg is 4 ft and the length of second leg is 7 ft.
Using Pythagoras theorem, we get
![(hypotenuse)^2=(4)^2+(7)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/udqm31mig7yez781hg79xy0f19lfpvewe1.png)
![(hypotenuse)^2=16+49](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lj2nkjs5m9dwmyevtaycvcdm7zxztn4e6p.png)
![(hypotenuse)^2=65](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f2s73nx3qnthhma5qjbn8gvxxb6pcfbn6p.png)
Taking square root both the sides.
![hypotenuse=√(65)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jkjofltl43mtlwhovivl7eedjeyzspbzmh.png)
The length of the hypotenuse is √(65) ft . Therefore the correct option is 4.