Chapter 9.6, Problem 13PSB

To determine

To Calculate: The distance between Marry and Larry at $11:30$

Answer to Problem 13PSB

TheDistance between Marry and Larry at $11:30$ is $28.3$ km.

Explanation of Solution

Given information:

Marry trotted south at $10$ kph while Larry galloped east at $16$ kph.

Formula used:

Here, we are using Pythagoras theorem.

  ${\left(Hypotenuse\right)}^2={\left(perpendicular\right)}^2+{\left(base\right)}^2$

Calculation:

  

Here, the formula is

  ${\left(Hypotenuse\right)}^2={\left(perpendicular\right)}^2+{\left(base\right)}^2$

  ${\left(AB\right)}^2={\left(24\right)}^2+{\left(15\right)}^2$

  ${\left(AB\right)}^2=576+225$

  $AB=28.3$

Conclusion: Hence,distance between Marry and Larry at $11:30$ is $28.3$ km.