Joel digs a hole at a rate of 35 feet every 10 minutes. After digging for 30 minutes, Joel places a bush in the hole that fills exactly 1/2 feet of the hole. Relative to ground level, what is the elevation of the hole after placing the bush in the hole? Enter your answer as a simplified mixed number in the box.

Respuesta :

The elevation of the hole relative to the ground is 52.5 feet.

The given parameters;

  • rate at which Joe digs the hole = 35 ft every 10 minutes
  • time in which Joe dug the hole, t = 30 minutes

The depth of the hole after 30 minutes digging by Joe is calculated as;

[tex]depth \ of \ hole = \frac{35 \ ft}{10 \min} \times 30 \min = 105 \ ft[/tex]

The new depth of the hole after placing bush that fills half of it;

[tex]new \ depth = \frac{1}{2} \times 105 \ ft\\\\new \ depth = 52.5 \ ft[/tex]

Thus, the elevation of the hole relative to the ground is 52.5 feet.

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