Problem $1$: You are conducting seismic cone penetration testing $($SCPTu$)$ to determine soil shear wave velocities with depth. The test consists of generating seismic waves from a wave source on the existing ground surface. These waves are measured via an accelerometer within the SCPTu. See Figure A for a typical SCPTu setup. Determine the distance from the seismic wave source to the accelerometer for accelerometer depths of $2$ m to $20m$@$2m$ intervals. The seismic source is $1\mathrm{.}5$ m distance from the SCPTu on the existing ground surface.

Figure A$.$ Typical SCPTu Setup.

Problem $2$: You are monitoring pile installation for batter piles. The piles are being installed at a $1$ Horizontal to $12$ Vertical $(1H$:$12V$ batter. The existing ground surface is at elevation $75\mathrm{.}5$ ft $.$ See Figure B for the pile installation setup. Determine the pile tip elevation for pile embedments of $50$ ft to $90ft$@$10ft$ intervals.

Existing Ground Surface

@ Elevation $+75\mathrm{.}5$ft

Figure B$.$ Pile Embedment Cross$-$Section $($NTS$).$