a horizontal surface

Question $3$

$10$ pts

The slope distance and zenith angle observed from point $x$ to point $Y$ were $2907\mathrm{.}45$ ft $.$ and $97$ degrees ${25}^{\text{'}}{36}^{\text{'}\text{'}}.$ The instrument and rod height were equal. If the elevation of point $x$ is ${6547\mathrm{.}89}^{\text{'}}$ above datum, what is the elevation at point $Y?$

$6172\mathrm{.}08$

$7162\mathrm{.}08$

$6172\mathrm{.}25$

$7162\mathrm{.}25$