$1$ The slope distance and zenith angle observed from point $x$ to point $Y$ were $2907\mathrm{.}45ft$ and $97{25}^{\text{'}}{36}^{\text{'}\text{'}}.$ The instrument and rod target heights were equal.

If the elevation of point $x$ is $6547\mathrm{.}89ft$ above datum, what is the elevation of point $Y?$