SEARCH HOME
Math CentralQuandaries & Queries

search

Question from Marvel, a parent:

Tim is standing in a hole that is 4 feet deep. Ben asks him how much deeper is he going to dig the hole. Tim replies he will dig to the level that is 4 feet 2 inches deeper and that then the top of his head will be the same distance below ground level that it is now above. How tall is Tim?

Hi Marvel,

I took Tim's height to be $h$ feet and drew a sketch of him in the 4 foot hole. Hence the top of Tim's head is $h - 4$ feet above the ground.

Tim in the hole

Redraw the diagram with the hole 4 feet 2 inches deeper and the top of Tim's head $h - 4$ feet below the ground level. Use the diagram to write an equation for $h$ and then solve this equation.

Write back if you need more assistance,
Penny

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS