For a better understanding of the question please find the diagram in the file that has been attached. This diagram tells us till where Keshawn has completed here construction.
As we can see there is an intersection point of AB and CD and that point is X. That point is of utmost importance to Keshawn. Thus, Keshawn's next step will be to construct the perpendicular to QR, which is AB, that passes through point X. He will then place the point of the compass on the intersection of AB and CD and extend the compasses to point R, or to point Q, to point P, as all are equidistant.
Keshawn will then draw a circle with center at the intersection of AB and CD and the radius as any of the three distances, which will make the circle pass through the points, P, Q and R.
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.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Simplifying, we have;
Dividing, we get;
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.