Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
Value of x:
The value of x can be determined using the trigonometric ratio.
Thus, we have;
[tex]cos \ \theta=\frac{adj}{hyp}[/tex]
Substituting the values, we get;
[tex]cos \ 45^{\circ}=\frac{6}{x}[/tex]
Simplifying, we have;
[tex]x=\frac{6}{cos \ 45^{\circ}}[/tex]
[tex]x=\frac{6}{0.766}[/tex]
Dividing, we get;
[tex]x\approx7.83[/tex]
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
