Given:
The given triangle is a right angled triangle.
One of the angle is 64° and the length of one of the leg is x.
The length of the hypotenuse is 28.
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]
where [tex]\theta= 64[/tex], adj = x and hyp = 28
Substituting the values, we get;
[tex]cos\ 64=\frac{x}{28}[/tex]
Multiplying both sides by 28, we have;
[tex]cos \ 64 \times 28=x[/tex]
[tex]0.438\times 28=x[/tex]
[tex]12.264=x[/tex]
Rounding off to the nearest hundredth, we get;
[tex]12.26=x[/tex]
Therefore, the value of x is 12.26
