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]