## Answer :

**Answer:**

b^2 = 700

**Step-by-step explanation:**

Given **trignometry question**:

- hypotenuse - 32 meters
- legs - 18m, x m

To solve this we need to use the **pythagorrean theorem**, which states that;

[tex]a^2 + b^2 = c^2[/tex]

where:

- a is 18 meters
- c which is the hypotenuse is 32 meters
- b is the unknown lenght of the other leg.

__Steps__:

- Make (b) the subject of formula

[tex]b^2 = c^2 - a^2[/tex] - Substitute the values listed above previously

[tex]b^2 = 32^2 - 18^2[/tex]

[tex]b^2 = 1,024 - 324[/tex]

[tex]b^2 = 700[/tex]

Therefore, the length of the other leg represented in square root **simplifies** to:

[tex]\boxed{ \boxed{b^2 = 700}}[/tex]