Respuesta :

Stefan's distance and displacement are 11 miles and 8.54 miles southeast

The distance can be calculated directly by adding up the individual distance.

  • d = 8+3
  • d = 11 miles

To calculate the displacement of Stefan, we make use of the Pythagoras theorem.

From Pythagoras theorem,

Formula:

  • a² = b²+c²................ Equation 1

Where:

  • a = Stefan's resultant displacement
  • b = Stefan's displacement to the south
  • c = Stefan's displacement to the east.

From the question,

Given:

  • b = 8 miles
  • c = 3 miles.

Substitute these values into equation 1

  • a² = 8²+3²
  • a² = 64+9
  • a² = 73
  • a = √(73)
  • a = 8.54 mile southeast.

While the displacement is 8.54 miles southeast.

Hence, Stefan's distance and displacement are 11 miles and 8.54 miles southeast.

Learn more about distance and displacement here: https://brainly.com/question/17273444