Question $2(5$pt$)$:

An underground blast design is shown in figure below. If the angle of drill hole $1$ is deviated by $4$ degrees $($shown as the dotted line$),$ calculate the distance between hole $1$ and $2$ at the back end of the hole $($ X $).$ Assume the length of the hole $($between the face and back end$)$ is $10$ m $,$ and the distance between drill hole $1$ and $2$ at the collar $($front of hole$)$ is $4\mathrm{.}5$ m $.$ Also estimate the percentage change in the distance between holes.