Given:
The given triangle is a right angled triangle.
The length of the hypotenuse is 17 units.
One of the legs of the triangle measure x units.
The one of the angles of the right triangle is 60°
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]sin \ \theta=\frac{opp}{hyp}[/tex]
Substituting [tex]\theta=60^{\circ}[/tex], [tex]opp=x[/tex] and [tex]hyp=17[/tex] in the above formula, we get;
[tex]sin \ 60^{\circ}=\frac{x}{17}[/tex]
Multiplying both sides of the equation by 17, we get;
[tex]sin \ 60^{\circ} \times 17=x[/tex]
Simplifying, we get;
[tex]0.866 \times 17=x[/tex]
Multiplying, we get;
[tex]14.722=x[/tex]
Rounding off to the nearest tenth, we get;
[tex]14.7=x[/tex]
Thus, the value of x is 14.7
